List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2024 |
1. |
V. I. Burenkov, D. J. Joseph, “Inequalities for trigonometric polynomials in periodic Morrey spaces”, Eurasian Math. J., 15:2 (2024), 92–100 ;
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2
[x]
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2. |
Nurzhan Bokayev, Victor Burenkov, Aidos Adilkhanov, “Pre-compactness of sets and compactness of commutators for Riesz potential in global Morrey-type spaces”, Mathematics, 12 (2024), 3533 , 20 pp. ; |
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2023 |
3. |
V. I. Burenkov, D. J. Joseph, “Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces”, Proc. Steklov Inst. Math., 323 (2023), 81–100 |
4. |
V. I. Burenkov, A. Senouci, “Equivalent semi-norms for Nikol'skii–Besov spaces”, Eurasian Math. J., 14:4 (2023), 15–22 ;
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1
[x]
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2022 |
5. |
V. I. Burenkov, D. J. Joseph, “Inequalities for entire functions of exponential type in Morrey spaces”, Eurasian Math. J., 13:3 (2022), 92–99 ;
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2
[x]
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2021 |
6. |
V. I. Burenkov, E. D. Nursultanov, “Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications”, Proc. Steklov Inst. Math., 312 (2021), 124–149 |
7. |
V. I. Burenkov, V. S. Guliyev, T. V. Tararykova, “Comparison of Morrey spaces and Nikol'skii spaces”, Eurasian Math. J., 12:1 (2021), 9–20 ;
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5
[x]
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8. |
V. I. Burenkov, T. V. Tararykova, “On Holder's inequality in Lebesgue spaces with variable order of summability”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 472–482 |
9. |
V. I. Burenkov, M. A. Senouci, “Boundedness of the generalized Riesz potential in local Morrey type spaces”, Eurasian Math. J., 12:4 (2021), 92–98 ;
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2
[x]
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2020 |
10. |
V. I. Burenkov, D. K. Chigambaeva, E. D. Nursultanov, “Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries”, Complex Var. Elliptic Equ., 65:1 (2020), 87–108 ;
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3
[x]
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11. |
V. I. Burenkov, E. D. Nursultanov, “Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 87–94 ;
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6
[x]
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2019 |
12. |
V. I. Burenkov, B. Th. Tuyen, “On spectral stability problem for a pair of self-adjoint elliptic differential operators on bounded open sets”, Eurasian Math. J., 10:3 (2019), 84–88
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1
[x]
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13. |
V. I. Burenkov, A. Ghorbanalizadeh, Y. Sawano, “On the equivalence of the $K$-functional and the modulus of continuity on the Money spaces”, J. Approx. Theory, 248 (2019), 105295–19
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3
[x]
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14. |
V. I. Burenkov, T. V. Tararykova, “Necessary and sufficient conditions of compactness of certain embeddings of Sobolev spaces”, Eurasian Math. J., 10:4 (2019), 14–23 ; |
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2018 |
15. |
V. I. Burenkov, D. K. Chigambayeva, E. D. Nursultanov, “Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces”, Eurasian Math. J., 9:2 (2018), 82–88
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6
[x]
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2017 |
16. |
V. I. Burenkov, E. Liflyand, “On the boundedness of Hausdorff operators on Morrey-type spaces”, Eurasian Math. J., 8:2 (2017), 97–104
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6
[x]
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17. |
N. A. Bokayev, V. I. Burenkov, D. T. Matin, “On precompactness of a set in general local and global Morrey-type spaces”, Eurasian Math. J., 8:3 (2017), 109–115
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6
[x]
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2016 |
18. |
V. I. Burenkov, T. V. Tararykova, “An analog of Young's inequality for convolutions of functions for general Morrey-type spaces”, Proc. Steklov Inst. Math., 293 (2016), 107–126 |
19. |
V. I. Burenkov, T. V. Tararykova, “Young’s inequality for convolutions in Morrey-type spaces”, Eurasian Math. J., 7:2 (2016), 92–99
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8
[x]
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20. |
V. I. Burenkov, V. Gol'dshtein, A. Ukhlov, “Conformal spectral stability estimates for the Neumann Laplacian”, Math. Nachr., 289:17 (2016), 2133–2146
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7
[x]
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21. |
V. I. Burenkov, E. D. Nursultanov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, T. V. Tararykova, A. M. Temirkhanova, “EMJ: from Scopus Q4 to Scopus Q3 in two years?!”, Eurasian Math. J., 7:3 (2016), 6 |
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2015 |
22. |
N. Azzouz, V. I. Burenkov, A. Senouci, “A weighted Hardy-type inequality for $0<p<1$ with sharp constant”, Math. Inequal. Appl., 18:2 (2015), 787–799
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1
[x]
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23. |
V. I. Burenkov, V. Gol'dshtein, A. Ukhlov, “Conformal spectral stability estimates for the Dirichlet Laplacian”, Math. Nachr., 288:16 (2015), 1822–1833
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17
[x]
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2014 |
24. |
V. I. Burenkov, M. L. Goldman, “Necessary and sufficient conditions for the boundedness of the maximal operator from Lebesgue spaces to Morrey-type spaces”, Math. Inequal. Appl., 17:2 (2014), 401–418
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3
[x]
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25. |
V. I. Burenkov, T. V. Tararykova, “On the spectrum of a nonlinear operator associated with calculation of the norm of a linear vector-functional”, Eurasian Math. J., 5:2 (2014), 132–138 |
26. |
Trans. Moscow Math. Soc., 75 (2014), 115–131 |
27. |
V. I. Burenkov, E. D. Nursultanov, D. K. Chigambayeva, “Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations”, Proc. Steklov Inst. Math., 284 (2014), 97–128 |
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2013 |
28. |
V. I. Burenkov, T. V. Tararykova, “On the 80th birthday of Professor Oleg Vladimirovich Besov”, Eurasian Math. J., 4:2 (2013), 5–9 |
29. |
V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 46–53
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17
[x]
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30. |
V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II”, Eurasian Math. J., 4:1 (2013), 21–45
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53
[x]
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31. |
V. I. Burenkov, R. Oinarov, “Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space”, Math. Inequal. Appl., 16:1 (2013), 1–19
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3
[x]
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32. |
V. I. Burenkov, E. Feleqi, “Extension of the notion of a gap to differential operators defined on different open sets”, Math. Nachr., 286:5-6 (2013), 518–535
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1
[x]
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2012 |
33. |
O. V. Besov, V. I. Burenkov, “To the memory of Academician Sergei Mikhailovich Nikol'skii”, Eurasian Math. J., 3:4 (2012), 6–9
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2
[x]
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34. |
V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I”, Eurasian Math. J., 3:3 (2012), 11–32
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59
[x]
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35. |
V. I. Burenkov, E. Feleqi, “Spectral stability estimates for the eigenfunctions of second order elliptic operators”, Math. Nachr., 285:11-12 (2012), 1357–1369
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3
[x]
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36. |
V. I. Burenkov, P. D. Lamberti, “Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators”, Rev. Mat. Complut., 25:2 (2012), 435–457
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19
[x]
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2011 |
37. |
V. I. Burenkov, M. Otelbaev, “On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators”, Eurasian Math. J., 2:1 (2011), 145–148
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2
[x]
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38. |
V. I. Burenkov, P. Jain, T. V. Tararykova, “On boundedness of the Hardy operator in Morrey-type spaces”, Eurasian Math. J., 2:1 (2011), 52–80
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25
[x]
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39. |
V. I. Burenkov, A. Gogatishvili, V. S. Guliyev, R. Ch. Mustafayev, “Boundedness of the Riesz potential in local Morrey-type spaces”, Potential Anal., 35:1 (2011), 67–87
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44
[x]
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2010 |
40. |
V. I. Burenkov, A. Senouci, T. V. Tararykova, “Hardy-type inequality for $0<p<1$ and hypodecreasing functions”, Eurasian Math. J., 1:3 (2010), 27–42
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8
[x]
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41. |
V. I. Burenkov, V. S. Guliyev, A. Serbetci, T. V. Tararykova, “Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces”, Eurasian Math. J., 1:1 (2010), 32–53
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29
[x]
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42. |
V. I. Burenkov, E. D. Nursultanov, “Description of interpolation spaces for local Morrey-type spaces”, Proc. Steklov Inst. Math., 269 (2010), 46–56 |
43. |
G. Barbatis, V. I. Burenkov, P. D. Lamberti, “Stability estimates for resolvents, eigenvalues, and eigenfunctions of elliptic operators on variable domains”, Around the research of Vladimir Maz'ya. II, Int. Math. Ser. (N. Y.), 12, Springer, New York, 2010, 23–60
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9
[x]
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44. |
V. I. Burenkov, A. Senouci, T. V. Tararykova, “Equivalent quasi-norms involving differences and moduli of continuity”, Complex Var. Elliptic Equ., 55:8-10 (2010), 759–769 |
45. |
V. I. Burenkov, A. Gogatishvili, V. S. Guliyev, R. Ch. Mustafayev, “Boundedness of the fractional maximal operator in local Morrey-type spaces”, Complex Var. Elliptic Equ., 55:8-10 (2010), 739–758
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76
[x]
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2009 |
46. |
V. I. Burenkov, P. D. Lamberti, “Spectral stability of the $p$-Laplacian”, Nonlinear Anal., 71:5-6 (2009), 2227–2235
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3
[x]
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47. |
V. Burenkov, P. D. Lamberti, “Spectral stability of higher order uniformly elliptic operators”, Sobolev spaces in mathematics. II, Int. Math. Ser. (N. Y.), 9, Springer, New York, 2009, 69–102
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12
[x]
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48. |
V. I. Burenkov, V. S. Guliyev, “Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces”, Potential Anal., 30:3 (2009), 211–249
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55
[x]
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2008 |
49. |
Proc. Steklov Inst. Math., 260 (2008), 68–89 |
50. |
V. I. Burenkov, V. S. Guliev, T. V. Tararykova, A. Sherbetchi, “Necessary and sufficient conditions for the boundedness of genuine singular integral operators in Morrey-type local spaces”, Dokl. Akad. Nauk, 422:1 (2008), 11–14
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6
[x]
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51. |
V. I. Burenkov, P. D. Lamberti, “Spectral stability of Dirichlet second order uniformly elliptic operators”, J. Differential Equations, 244:7 (2008), 1712–1740
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31
[x]
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2007 |
52. |
V. I. Burenkov, V. S. Guliev, G. V. Guliev, “Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces”, Dokl. Akad. Nauk, 412:5 (2007), 585–589
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7
[x]
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53. |
V. I. Burenkov, H. V. Guliyev, V. S. Guliyev, “Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces”, J. Comput. Appl. Math., 208:1 (2007), 280–301
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61
[x]
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54. |
V. Burenkov, P. Jain, T. Tararykova, “On Hardy-Steklov and geometric Steklov operators”, Math. Nachr., 280:11 (2007), 1244–1256
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3
[x]
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55. |
V. I. Burenkov, H. V. Guliyev, V. S. Guliyev, “On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces”, The interaction of analysis and geometry, Contemp. Math., 424, Amer. Math. Soc., Providence, RI, 2007, 17–32
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17
[x]
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56. |
V. I. Burenkov, P. D. Lamberti, “Spectral stability of general non-negative self-adjoint operators with applications to Neumann-type operators”, J. Differential Equations, 233:2 (2007), 345–379
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17
[x]
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2006 |
57. |
V. I. Burenkov, V. S. Guliev, G. V. Guliev, “Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces”, Dokl. Akad. Nauk, 409:4 (2006), 443–447
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8
[x]
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2008 |
58. |
V. I. Burenkov, P. D. Lamberti, M. Lanza de Cristoforis, “Spectral Stability of Nonnegative Self-Adjoint Operators”, Journal of Mathematical Sciences, 149:4 (2008), 1417–1452 |
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2006 |
59. |
V. I. Burenkov, P. D. Lamberti, “Spectral stability of elliptic selfadjoint differential operators with Dirichlet and Neumann boundary conditions”, Differential & difference equations and applications, Hindawi Publ. Corp., New York, 2006, 237–245 |
60. |
V. I. Burenkov, G. E. García Almeida, “Estimates of regularized solutions of integral equations of the first kind in anisotropic spaces with fractional orders of smoothness”, Inverse Problems, 22:5 (2006), 1739–1759 |
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2005 |
61. |
V. I. Burenkov, “Extension of Functions Preserving Certain Smoothness and Compactness of Embeddings for Spaces of Differentiable Functions”, Proc. Steklov Inst. Math., 248 (2005), 69–80 |
62. |
V. I. Burenkov, P. D. Lamberti, “Spectral stability of nonnegative selfadjoint operators”, Dokl. Akad. Nauk, 403:2 (2005), 159–164
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2
[x]
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2004 |
63. |
V. I. Burenkov, A. Senouci, “On integral inequalities involving differences”, J. Comput. Appl. Math., 171:1-2 (2004), 141–149
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1
[x]
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64. |
V. I. Burenkov, H. V. Guliyev, “Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces”, Studia Math., 163:2 (2004), 157–176
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97
[x]
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2003 |
65. |
V. I. Burenkov, “Lifting properties of Sobolev spaces”, Function spaces, differential operators and nonlinear analysis (Teistungen, 2001), Birkhäuser, Basel, 2003, 231–236 |
66. |
V. I. Burenkov, V. A. Gusakov, “On Sharp Constants in Inequalities for the Modulus of a Derivative”, Proc. Steklov Inst. Math., 243 (2003), 98–119 |
67. |
V. I. Burenkov, G. V. Guliev, “Necessary and sufficient conditions for the boundedness of the maximal operator in local spaces of Morrey type”, Dokl. Akad. Nauk, 391:5 (2003), 591–594
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7
[x]
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68. |
V. I. Burenkov, “Sharp estimates for integrals over small intervals for functions possessing some smoothness”, Progress in analysis, Vol. I, II (2001, Berlin), World Sci. Publ., River Edge, NJ, 2003, 45–56 |
69. |
V. I. Burenkov, G. E. Garcia Almeida, “Estimates of regularized solutions of equations of convolution type in anisotropic function spaces with noninteger order of smoothness”, Progress in analysis, Vol. I, II (2001, Berlin), World Sci. Publ., River Edge, NJ, 2003, 15–22 |
70. |
V. I. Burenkov, G. E. García Almeida, “Estimates for convolutions in the anisotropic Nikol'skiĭ-Besov spaces”, J. Funct. Spaces Appl., 1:1 (2003), 91–106
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1
[x]
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71. |
V. I. Burenkov, G. E. García Almeida, “Equivalent quasinorms for the anisotropic Nikol'skiĭ-Besov spaces on a cone of functions with a regular Fourier transform”, Math. Inequal. Appl., 6:3 (2003), 497–508 |
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2002 |
72. |
V. I. Burenkov, E. B. Davies, “Spectral stability of the Neumann Laplacian”, J. Differential Equations, 186:2 (2002), 485–508
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39
[x]
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2001 |
73. |
V. I. Burenkov, T. V. Tararykova, “Inequalities for mean values over quasiballs for functions defined on arbitrary open sets”, Math. Inequal. Appl., 4:1 (2001), 19–33 |
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2000 |
74. |
V. I. Burenkov, “Extension theorems for Sobolev and more general spaces for degenerate open sets”, Proceedings of the Second ISAAC Congress, Vol. 2 (1999, Fukuoka), Int. Soc. Anal. Appl. Comput., 8, Kluwer Acad. Publ., Dordrecht, 2000, 1135–1141 |
75. |
V. I. Burenkov, G. A. Kalyabin, “Lower estimates of the norms of extension operators for Sobolev spaces on the halfline”, Math. Nachr., 218 (2000), 19–23
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4
[x]
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1999 |
76. |
R. Brown, V. Burenkov, S. Clark, D. Hinton, “Second order Opial inequalities in $\scr L^p$-spaces and applications”, Analytic and geometric inequalities and applications, Math. Appl., 478, Kluwer Acad. Publ., Dordrecht, 1999, 37–52 |
77. |
V. I. Burenkov, “Extension theory for Sobolev spaces on open sets with Lipschitz boundaries”, Nonlinear analysis, function spaces and applications, Vol. 6 (Prague, 1998), Acad. Sci. Czech Repub., Prague, 1999, 1–49 |
78. |
V. Burenkov, “Extension theorems for Sobolev spaces”, The Maz'ya anniversary collection, Vol. 1 (1998, Rostock), Oper. Theory Adv. Appl., 109, Birkhäuser, Basel, 1999, 187–200 |
79. |
V. I. Burenkov, M. L. Gol'dman, “On exact analogues of the Hardy inequality for differences in the case of related weights”, Dokl. Akad. Nauk, 366:2 (1999), 155–157
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4
[x]
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80. |
V. I. Burenkov, M. L. Gol'dman, “Hardy-Type Inequalities for Moduli of Continuity”, Proc. Steklov Inst. Math., 227 (1999), 87–103 |
81. |
V. I. Burenkov, T. V. Verdiev, “Extension by Zero of Functions in Spaces with Generalized Smoothness for Degenerate Domains”, Proc. Steklov Inst. Math., 227 (1999), 73–86 |
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1998 |
82. |
V. I. Burenkov, L. D. Kudryavtsev, I. V. Neverov, “Concerning an identity for differences of arbitrary order”, Math. Notes, 64:2 (1998), 256–261 |
83. |
E. I. Berezhnoi, V. I. Burenkov, “Improved interpolation theorems for a class of linear operators”, Izv. Math., 62:4 (1998), 651–671 |
84. |
V. I. Burenkov, W. D. Evans, “On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms”, Proc. Roy. Soc. Edinburgh Sect. A, 128:5 (1998), 993–1005
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10
[x]
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85. |
V. Burenkov, B. Schulze-Wolfgang, N. N. Tarkhanov, “Extension operators for Sobolev spaces commuting with a given transform”, Glasgow Math. J., 40:2 (1998), 291–296
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1
[x]
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86. |
V. I. Burenkov, W. D. Evans, “Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness”, J. London Math. Soc. (2), 57:1 (1998), 209–230
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5
[x]
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87. |
V. I. Burenkov, Sobolev spaces on domains, Teubner-Texte zur Mathematik [Teubner Texts in Mathematics], 137, B. G. Teubner Verlagsgesellschaft mbH, Stuttgart, 1998 , 312 pp.
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128
[x]
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88. |
S. Barza, V. Burenkov, J. Pečarić, L. Persson-Erik, “Sharp multidimensional multiplicative inequalities for weighted $L_p$ spaces with homogeneous weights”, Math. Inequal. Appl., 1:1 (1998), 53–67 |
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1997 |
89. |
V. I. Burenkov, W. D. Evans, M. L. Goldman, “On weighted Hardy and Poincaré-type inequalities for differences”, J. Inequal. Appl., 1:1 (1997), 1–10 |
90. |
V. I. Burenkov, V. A. Gusakov, “Exact constants in an inequality for the modulus of the derivative, and best approximations of a differentiation functional at a point of a segment”, Dokl. Akad. Nauk, 356:3 (1997), 295–296
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1
[x]
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91. |
V. I. Burenkov, V. D. Èvans, “A weighted Hardy inequality for differences, and the complete continuity of the embedding of Sobolev spaces for domains of arbitrarily strong degeneration”, Dokl. Akad. Nauk, 355:5 (1997), 583–585
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3
[x]
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92. |
V. I. Burenkov, A. L. Gorbunov, “Exact bounds for the minimum norm of extension operators for Sobolev spaces”, Izv. Math., 61:1 (1997), 1–43 |
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1996 |
93. |
V. I. Burenkov, W. D. Evans, “On compact embeddings of Sobolev spaces and extension operators which preserve some smoothness”, Function spaces, differential operators and nonlinear analysis (Paseky nad Jizerou, 1995), Prometheus, Prague, 1996, 17–26 |
94. |
V. I. Burenkov, N. B. Viktorova, “The embedding theorem for Sobolev spaces with mixed norm for limit exponents”, Math. Notes, 59:1 (1996), 45–51 |
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1995 |
95. |
V. I. Burenkov, A. S. Pankratov, “Estimates of regularized solutions of convolution-type equations in the spaces of functions with derivatives of fractional orders”, Tr. Semin. im. I. G. Petrovskogo, 1995, no. 18, 170–194 |
96. |
V. I. Burenkov, M. L. Gol'dman, “Calculation of the norm of a positive operator on the cone of monotone functions”, Proc. Steklov Inst. Math., 210 (1995), 47–65 |
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1994 |
97. |
J. Bergh, V. Burenkov, L. E. Persson, “On some sharp reversed Hölder and Hardy type inequalities”, Math. Nachr., 169 (1994), 19–29
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7
[x]
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98. |
V. I. Burenkov, A. Senusi, “Estimates for constants in additivity inequalities for function spaces”, Siberian Math. J., 35:1 (1994), 21–36 |
99. |
J. Bergh, V. Burenkov, L. E. Persson, “Best constants in reversed Hardy's inequalities for quasimonotone functions”, Acta Sci. Math. (Szeged), 59:1-2 (1994), 221–239 |
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1993 |
100. |
V. I. Burenkov, A. L. Gorbunov, “A two-sided estimate for the minimal norm of the extension operator for Sobolev spaces”, Dokl. Math., 47:3 (1993), 589–592 |
101. |
B. E. Batyrov, V. I. Burenkov, “Estimates for convolutions in Nikol'skii–Besov spaces”, Dokl. Math., 47:3 (1993), 362–365 |
102. |
V. I. Burenkov, “Fourier multipliers in weighted $L_p$-spaces with exponential weights”, Report, Proceedings of the Fourth Finnish-Polish Summer School in Complex Analysis at Jyväskylä (1992), 55, Univ. Jyväskylä, Jyväskylä, 1993, 5–12 |
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1994 |
103. |
V. I. Burenkov, M. Sh. Tuyakbaev, “On Fourier integral multipliers in weighted $L_p$-spaces with an exponential weight. II”, Proc. Steklov Inst. Math., 204 (1994), 69–96 |
104. |
V. I. Burenkov, V. A. Gusakov, “On precise constants in Sobolev imbedding theorems. III”, Proc. Steklov Inst. Math., 204 (1994), 57–67 |
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1992 |
105. |
V. I. Burenkov, “Conditional hypoellipticity and Fourier multipliers for weighted $L_p$-spaces with an exponential weight”, Teubner-Texte Math., 133, Teubner, Stuttgart, 1992, 256–263 Friedrichroda
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3
[x]
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106. |
V. I. Burenkov, V. A. Gusakov, “On exact constants in Sobolev embedding theorems. II”, Dokl. Math., 45:3 (1992), 572–577 |
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1994 |
107. |
V. I. Burenkov, P. M. Badzhrachariya, “Approximation by infinitely differentiable vectorfunctions with preservation of the image for various functional spaces”, Proc. Steklov Inst. Math., 201 (1994), 125–135 |
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1993 |
108. |
V. I. Burenkov, “On the best constant in Hardy's inequality with $0<p<1$ for monotone functions”, Proc. Steklov Inst. Math., 194 (1993), 59–63 |
109. |
P. M. Badzhrachariya, V. I. Burenkov, “Necessary and sufficient conditions for continuity with respect to a nonlinear translation for various function spaces”, Proc. Steklov Inst. Math., 194 (1993), 1–12 |
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1991 |
110. |
V. I. Burenkov, Funktsionalnye prostranstva. Prostranstva Soboleva. Chast I, Univ. Druzhby Narodov, Moscow, 1991 , 63 pp. |
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1992 |
111. |
V. I. Burenkov, M. Sh. Tuyakbaev, “Multipliers of the Fourier integral in weighted $L_p$-spaces with an exponential weight”, Dokl. Math., 44:2 (1992), 365–369 |
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1990 |
112. |
V. I. Burenkov, I. F. Dorofeev, I. L. Kutsenko, A. S. Pankratov, “Regularized approximation in Nikol'skiĭ-Besov spaces on a segment”, Qualitative methods in the theory of functions and differential equations, Univ. Druzhby Narodov, Moscow, 1990, 23–26 (Russian) |
113. |
V. I. Burenkov, “On estimates of Fourier transforms and convolutions in Nikol'skii–Besov spaces”, Proc. Steklov Inst. Math., 187 (1990), 35–44 |
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1989 |
114. |
V. I. Burenkov, I. F. Dorofeev, A. S. Pankratov, “Estimates for regularized solutions of equations of convolution type in spaces of functions with a noninteger order of differentiation”, Dokl. Math., 38:3 (1989), 506–510 |
115. |
V. I. Burenkov, “A theorem on iterated norms for Nikol'skij–Besov spaces, and its application”, Proc. Steklov Inst. Math., 181 (1989), 29–42 |
|
1988 |
116. |
B. E. Batyrov, V. I. Burenkov, “Averaging operator in the $L_p$ spaces for $0<p<1$”, Math. Notes, 43:1 (1988), 23–26 |
|
1987 |
117. |
V. I. Burenkov, A. È. Komarov, “Conditions for the equality to zero of the product of an infinitely differentiable function by a generalized one”, Math. Notes, 42:1 (1987), 513–515 |
118. |
V. I. Burenkov, V. A. Gusakov, “On exact constants in Sobolev embedding theorems”, Dokl. Akad. Nauk SSSR, 294:6 (1987), 1293–1297
|
2
[x]
|
119. |
V. I. Burenkov, K. R. Maman, “Local and global estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations”, Dokl. Akad. Nauk SSSR, 294:4 (1987), 777–781 |
|
1989 |
120. |
V. I. Burenkov, “Approximation by infinitely differentiable functions with preservation of boundary values”, Proc. Steklov Inst. Math., 180 (1989), 76–79 |
|
1987 |
121. |
V. I. Burenkov, K. R. Maman, “Local and global estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations”, Dokl. Akad. Nauk SSSR, 294:4 (1987), 777–781 |
|
1986 |
122. |
V. I. Burenkov, K. R. Maman, “Local estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1986, 15–29 (Russian) |
123. |
V. I. Burenkov, P. M. Badzhrachariya, “Generalization of the property of continuity with respect to the displacement of functions in $L_p$”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1986, 3–14 (Russian) |
|
1987 |
124. |
V. I. Burenkov, “Exact constants in inequalities for norms of intermediate derivatives on a finite interval. II”, Proc. Steklov Inst. Math., 173 (1987), 39–50 |
125. |
V. I. Burenkov, E. M. Popova, “Improvement of extension operators by means of approximation operators that preserve boundary values”, Proc. Steklov Inst. Math., 173 (1987), 51–56 |
|
1985 |
126. |
V. I. Burenkov, Sh. D. Sobnak, “Equivalent norms in Nikol'skiĭ-Besov spaces containing differences of fractional order”, Boundary value problems of mathematical physics and some problems in the theory of function spaces, Univ. Druzhby Narodov, Moscow, 1985, 9–20 (Russian) |
127. |
V. I. Burenkov, Kh. M. Dzhafar, “The nonuniqueness of polynomials deviating least from zero, with a fixed coefficient for the lowest power”, Boundary value problems of mathematical physics and some problems in the theory of function spaces, Univ. Druzhby Narodov, Moscow, 1985, 3–8 (Russian) |
|
1987 |
128. |
V. I. Burenkov, “Extension of functions with preservation of Sobolev seminorm”, Proc. Steklov Inst. Math., 172 (1987), 81–95 |
|
1984 |
129. |
V. I. Burenkov, V. A. Gusakov, “The exact constant in Sobolev's embedding theorem in the space of continuous functions”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1984, 16–21 |
130. |
V. I. Burenkov, I. Adnan, “Inequalities for weighted repeated fractional norms and weighted spaces of infinitely differentiable functions”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1984, 3–15 |
|
1983 |
131. |
V. I. Burenkov, K. R. Maman, “Sharp estimates for the rate of growth of derivatives of solutions of hypoelliptic equations depending on the behavior at infinity”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1983, 16–27 |
132. |
V. I. Burenkov, “Direct proof of the Campbell-Baker formula”, Differential equations and functional analysis, Univ. Druzhby Narodov, Moscow, 1983, 11–15 |
|
1984 |
133. |
V. I. Burenkov, M. L. Gol'dman, “Interrelation of norms of operators in periodic and nonperiodic function spaces”, Proc. Steklov Inst. Math., 161 (1984), 53–112 |
|
1982 |
134. |
V. I. Burenkov, M. L. Gol'dman, “Estimates for operator norms in spaces of periodic and nonperiodic functions”, Dokl. Akad. Nauk SSSR, 267:6 (1982), 1289–1293 |
135. |
V. I. Burenkov, “Mollifying operators with variable step and their application to approximation by infinitely differentiable functions”, Nonlinear analysis, function spaces and applications, Vol. 2 (1982, Písek), Teubner-Texte zur Math., 49, Teubner, Leipzig, 1982, 5–37 |
136. |
V. I. Burenkov, M. L. Gol'dman, “Norming of periodic analogues of normed function spaces”, Dokl. Akad. Nauk SSSR, 264:2 (1982), 271–274 |
|
1983 |
137. |
V. I. Burenkov, “Exact constants in inequalities for norms of intermediate derivatives on a finite interval”, Proc. Steklov Inst. Math., 156 (1983), 23–30 |
|
1981 |
138. |
V. I. Burenkov, B. L. Fain, “Extension of functions from anisotropic spaces with preservation of class”, Proc. Steklov Inst. Math., 150 (1981), 55–70 |
139. |
V. I. Burenkov, M. L. Gol'dman, “Extension of functions from $L_p$”, Proc. Steklov Inst. Math., 150 (1981), 33–53 |
140. |
V. I. Burenkov, “Partitions of unity”, Proc. Steklov Inst. Math., 150 (1981), 25–31 |
|
1976 |
141. |
V. I. Burenkov, “A method for the approximation and extension of differentiable functions defined in a domain”, Imbedding theorems and their applications (Proc. All-Union Sympos., Alma-Ata, 1973), Nauka, Kazah. SSR, Alma-Ata, 1976, 29–31 |
|
1979 |
142. |
V. I. Burenkov, “A way of continuing differentiable functions”, Proc. Steklov Inst. Math., 140 (1979), 27–70 |
|
1976 |
143. |
V. I. Burenkov, “The extension of functions with preservation of the seminorm”, Dokl. Akad. Nauk SSSR, 228:4 (1976), 779–782
|
3
[x]
|
144. |
V. I. Burenkov, B. L. Faĭn, “The extension of functions from anisotropic spaces with preservation of class”, Dokl. Akad. Nauk SSSR, 228:3 (1976), 525–528
|
2
[x]
|
|
1975 |
145. |
V. I. Burenkov, “The density of infinitely differentiable functions in spaces of functions specified on an arbitrary open set”, Theory of cubature formulas and applications of functional analysis to some problems in mathematical physics (Russian), Inst. Mat., Akad. Nauk SSSR Sibirsk. Otdel., Novosibirsk, 1975, 9–22 |
146. |
V. I. Burenkov, “The continuation of functions with preservation and with deterioration of their differential properties”, Dokl. Akad. Nauk SSSR, 224:2 (1975), 269–272
|
2
[x]
|
|
1977 |
147. |
V. I. Burenkov, “On integration by parts and a problem on composition of absolutely continuous functions which arises in this connection”, Proc. Steklov Inst. Math., 134 (1977), 45–54 |
|
1974 |
148. |
V. I. Burenkov, “The approximation of functions in the space $W_p^r(\Omega )$ by compactly supported functions for an arbitrary open set $\Omega $”, Proc. Steklov Inst. Math., 131 (1974), 53–66 |
149. |
V. I. Burenkov, “The density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set”, Proc. Steklov Inst. Math., 131 (1974), 39–51 |
150. |
V. I. Burenkov, “Sobolev's integral representation and Taylor's formula”, Proc. Steklov Inst. Math., 131 (1974), 33–38 |
|
1973 |
151. |
V. I. Burenkov, “Regularized distance”, Trudy Moskov. Inst. Radiotehn. Èlektron. i Avtomat., 1973, no. Vyp. 67 Mat., 113–117, 152 |
|
1972 |
152. |
V. I. Burenkov, “The approximation of functions in the space $C^{r}(\Omega )$ by functions of compact support, for an arbitrary open set $\Omega $”, Proc. Steklov Inst. Math., 116 (1972), 73–87 |
153. |
V. I. Burenkov, “The approximations of functions from Sobolev spaces by functions with compact support in the case of an arbitrary open set”, Dokl. Akad. Nauk SSSR, 202 (1972), 259–262
|
2
[x]
|
154. |
V. I. Burenkov, “The approximation of functions from the space $C^{r}(\Omega )$ by functions of compact support for an arbitrary open set $\Omega $”, Dokl. Akad. Nauk SSSR, 202 (1972), 16–18 |
|
1971 |
155. |
A. F. Aslanjan, V. I. Burenkov, “A derivation of the Campbell-Baker formula by differentiation with respect to the parameter”, Trudy Moskov. Inst. Radiotehn. Èlektron. i Avtomat., 1971, no. 52 Mat., 8–11 |
156. |
V. I. Burenkov, “Formula for the differentiation of operator-valued functions depending on a parameter”, Math. Notes, 10:2 (1971), 546–552 |
|
1970 |
157. |
V. I. Burenkov, “The additivity property of the spaces $W_p^{(r)}(\Omega)$”, Imbedding theorems and their applications (Proc. Sympos., Baku, 1966), Nauka, Moscow, 1970, 47–52 |
158. |
V. I. Burenkov, “The influence of the decay at infinity of solutions of partial differential equations on their differential properties”, Imbedding theorems and their applications (Proc. Sympos., Baku, 1966), Nauka, Moscow, 1970, 34–46 |
|
1969 |
159. |
V. I. Burenkov, “Additivity of the spaces $W_{p}^{r}$ and $B_{p}^{r}$, and embedding theorems for domains of general form”, Proc. Steklov Inst. Math., 105 (1969), 35–53 |
160. |
V. I. Burenkov, “The superposition of absolutely continuous functions and the superposition of functions of bounded variation”, Dokl. Akad. Nauk SSSR, 189 (1969), 234–236 |
|
1968 |
161. |
V. I. Burenkov, “On imbedding theorems for the domain $R_k=\{\alpha_i h<x_i^{k_i}<\beta_i h;0<h<1\}$”, Math. USSR-Sb., 4:4 (1968), 457–462 |
162. |
A. G. Aslanyan, V. I. Burenkov, “The integrability in quadratures of certain systems of linear differential equations”, Differ. Uravn., 4:7 (1968), 1241–1249 |
|
1967 |
163. |
V. I. Burenkov, “Infinite differentiability and analyticity of solutions decreasing at infinity of equations with constant coefficients”, Dokl. Akad. Nauk SSSR, 174 (1967), 1007–1010
|
1
[x]
|
164. |
V. I. Burenkov, “On the connection between the behavior of a solution of a partial differential equation at infinity and its differential properties”, Investigations in the theory of differentiable functions of many variables and its applications. Part 2, Work collection, Trudy Mat. Inst. Steklov., 89, 1967, 56–68 |
165. |
V. I. Burenkov, “On the additivity of the classes of $W_p^{(r)}(\Omega )$”, Investigations in the theory of differentiable functions of many variables and its applications. Part 2, Work collection, Trudy Mat. Inst. Steklov., 89, 1967, 31–55 |
166. |
A. G. Aslanyan, V. I. Burenkov, “A problem of N. P. Erugin on integrability by quadratures of a system of ordinary differential equations”, Differ. Uravn., 3:5 (1967), 811–819 |
167. |
A. G. Aslanyan, V. I. Burenkov, “Refinement of a theorem of V. V. Morozov”, Differ. Uravn., 3:4 (1967), 687–691 |
|
1966 |
168. |
V. I. Burenkov, “Imbedding and extension theorems for classes of differentiable functions of several variables defined on the entire spaces”, Itogi Nauki. Ser. Matematika. Mat. Anal. 1965, VINITI, Moscow, 1966, 71–155 |
|
1965 |
169. |
V. I. Burenkov, “Certain properties of the spaces $W_p^{(r)}(\Omega)$ and $W_p^{(r,r)}(\Omega)$ for $0<r<1$”, Investigations in the theory of differentiable functions of many variables and its applications, Collection of articles, Trudy Mat. Inst. Steklov., 77, Nauka, Moscow, 1965, 72–88 |
170. |
V. I. Burenkov, “Local lemmas for certain classes of differentiable functions”, Investigations in the theory of differentiable functions of many variables and its applications, Collection of articles, Trudy Mat. Inst. Steklov., 77, Nauka, Moscow, 1965, 65–71 |
|