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Publications in Math-Net.Ru |
Citations |
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1995 |
1. |
V. S. Guliev, P. I. Lizorkin, “Spaces of Banach-valued analytic and periodic functions”, Trudy Mat. Inst. Steklov., 210 (1995), 101–119 ; Proc. Steklov Inst. Math., 210 (1995), 74–88 |
1
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1994 |
2. |
V. M. Kokilashvili, P. I. Lizorkin, “Two-weight estimates for multipliers, and embedding theorems”, Dokl. Akad. Nauk, 336:4 (1994), 439–441 ; Dokl. Math., 49:3 (1994), 515–519 |
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1993 |
3. |
P. I. Lizorkin, “On the approximation of functions on the sphere $\sigma$. On the
spaces $B^\alpha_{p,q}(\sigma)$”, Dokl. Akad. Nauk, 331:5 (1993), 555–558 ; Dokl. Math., 48:1 (1994), 156–161 |
1
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4. |
P. I. Lizorkin, Kh. P. Rustamov, “Nikol'skij–Besov spaces on the sphere in connection with approximation theory”, Trudy Mat. Inst. Steklov., 204 (1993), 172–200 ; Proc. Steklov Inst. Math., 204 (1994), 149–172 |
2
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5. |
V. S. Guliev, P. I. Lizorkin, “Classes of holomorphic and harmonic functions in the polydisk in connection with their boundary values”, Trudy Mat. Inst. Steklov., 204 (1993), 137–159 ; Proc. Steklov Inst. Math., 204 (1994), 117–135 |
2
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1992 |
6. |
P. I. Lizorkin, Kh. P. Rustamov, “On some equivalent norms of the Nikol'skii–Besov space on a sphere”, Dokl. Akad. Nauk, 322:2 (1992), 228–232 ; Dokl. Math., 45:1 (1992), 58–62 |
7. |
P. I. Lizorkin, V. S. Guliev, “Functional spaces and approximation problems on Heisenberg group”, Trudy Mat. Inst. Steklov., 201 (1992), 245–272 ; Proc. Steklov Inst. Math., 201 (1994), 205–227 |
8. |
P. I. Lizorkin, “Direct and inverse theorems of approximation theory for functions on Lobachevsky space”, Trudy Mat. Inst. Steklov., 194 (1992), 120–147 ; Proc. Steklov Inst. Math., 194 (1993), 125–151 |
3
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1991 |
9. |
V. S. Guliev, P. I. Lizorkin, “$\mathscr{B}$- and $\mathscr{L}$-classes of harmonic and holomorphic functions in the disc, and classes of boundary values”, Dokl. Akad. Nauk SSSR, 319:4 (1991), 806–810 ; Dokl. Math., 44:1 (1992), 215–219 |
10. |
P. I. Lizorkin, “Approximation on Riemannian manifold”, Trudy Mat. Inst. Steklov., 200 (1991), 222–235 ; Proc. Steklov Inst. Math., 200 (1993), 247–260 |
2
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1990 |
11. |
P. I. Lizorkin, “Classes of functions constructed on the basis of averages over spheres. (The case of spaces of Sobolev type)”, Trudy Mat. Inst. Steklov., 192 (1990), 122–139 ; Proc. Steklov Inst. Math., 192 (1992), 131–149 |
4
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1989 |
12. |
K. Kh. Boimatov, P. I. Lizorkin, “Estimates for the growth of solutions of differential equations”, Differ. Uravn., 25:4 (1989), 578–588 ; Differ. Equ., 25:4 (1989), 386–393 |
13. |
P. I. Lizorkin, V. B. Shakhmurov, “Embedding theorems for vector-valued functions. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 2, 47–54 ; Soviet Math. (Iz. VUZ), 33:2 (1989), 53–61 |
14. |
P. I. Lizorkin, V. B. Shakhmurov, “Embedding theorems for vector-valued functions. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 1, 70–79 ; Soviet Math. (Iz. VUZ), 33:1 (1989), 81–90 |
15. |
P. I. Lizorkin, S. M. Nikol'skii, “Functional spaces of mixed smoothness from decompositional point of view”, Trudy Mat. Inst. Steklov., 187 (1989), 143–161 ; Proc. Steklov Inst. Math., 187 (1990), 163–184 |
41
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16. |
K. S. Kazarian, P. I. Lizorkin, “Multiplicators, basises, unconditional basises in weighted spaces В and SB”, Trudy Mat. Inst. Steklov., 187 (1989), 98–115 ; Proc. Steklov Inst. Math., 187 (1990), 111–130 |
2
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1988 |
17. |
P. I. Lizorkin, N. V. Miroshin, “The generalized Poisson integral and the smoothness of the solution of the Dirichlet problem for degenerate elliptic operators”, Differ. Uravn., 24:2 (1988), 305–313 ; Differ. Equ., 24:2 (1988), 232–239 |
18. |
S. M. Nikol'skiĭ, P. I. Lizorkin, N. V. Miroshin, “Weighted function spaces and their applications to the investigation of boundary value problems for degenerate elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 8, 4–30 ; Soviet Math. (Iz. VUZ), 32:8 (1988), 1–40 |
19
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19. |
S. M. Nikol'skii, P. I. Lizorkin, “Function classes that are constructed on the basis of averagings”, Sibirsk. Mat. Zh., 29:5 (1988), 181–190 ; Siberian Math. J., 29:5 (1988), 831–840 |
3
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20. |
O. V. Besov, L. D. Kudryavtsev, P. I. Lizorkin, S. M. Nikol'skii, “Investigations in the theory of spaces of differentiable functions of several variables”, Trudy Mat. Inst. Steklov., 182 (1988), 68–127 ; Proc. Steklov Inst. Math., 182 (1990), 73–139 |
5
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21. |
S. M. Nikol'skii, P. I. Lizorkin, “A new approach to the theory of function spaces $B^r_{p,\theta}$ on a sphere”, Trudy Mat. Inst. Steklov., 181 (1988), 213–221 ; Proc. Steklov Inst. Math., 181 (1989), 233–242 |
4
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1987 |
22. |
P. I. Lizorkin, S. M. Nikol'skii, “Symmetric averaged differences on a sphere”, Dokl. Akad. Nauk SSSR, 296:2 (1987), 271–274 ; Dokl. Math., 36:2 (1988), 251–254 |
1
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23. |
S. M. Nikol'skii, P. I. Lizorkin, “Approximation of functions on the sphere”, Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987), 635–651 ; Math. USSR-Izv., 30:3 (1988), 599–614 |
18
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24. |
S. M. Nikol'skii, P. I. Lizorkin, “Functional spaces on the sphere, related with approximation theory”, Mat. Zametki, 41:4 (1987), 509–516 ; Math. Notes, 41:4 (1987), 286–291 |
7
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1986 |
25. |
S. M. Nikol'skii, P. I. Lizorkin, “Inequalities for harmonic, spherical and algebraic polynomials”, Dokl. Akad. Nauk SSSR, 289:3 (1986), 541–545 |
26. |
S. M. Nikol'skii, P. I. Lizorkin, “Approximation of functions by spherical polynomials in the metric $L_p$”, Dokl. Akad. Nauk SSSR, 289:2 (1986), 285–289 |
27. |
S. M. Nikol'skii, P. I. Lizorkin, “Inequalities of Bernstein type for spherical polynomials”, Dokl. Akad. Nauk SSSR, 288:1 (1986), 50–53 |
28. |
V. A. Ivanov, P. I. Lizorkin, “Estimates in integral norms of derivatives of harmonic polynomials
and spherical polynomials”, Dokl. Akad. Nauk SSSR, 286:1 (1986), 23–27 |
29. |
P. I. Lizorkin, N. V. Miroshin, “Smoothness of the solution of the first boundary value problem for a second-order model degenerate elliptic differential operator”, Differ. Uravn., 22:11 (1986), 1945–1951 |
30. |
P. I. Lizorkin, S. M. Nikol'skii, “Approximation by spherical functions”, Trudy Mat. Inst. Steklov., 173 (1986), 181–189 ; Proc. Steklov Inst. Math., 173 (1987), 195–203 |
5
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31. |
P. I. Lizorkin, “Limit cases of theorems on $\mathscr F L_p$-multipliers”, Trudy Mat. Inst. Steklov., 173 (1986), 164–180 ; Proc. Steklov Inst. Math., 173 (1987), 177–194 |
4
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32. |
P. I. Lizorkin, “On the theory of Fourier multipliers”, Trudy Mat. Inst. Steklov., 173 (1986), 149–163 ; Proc. Steklov Inst. Math., 173 (1987), 161–176 |
6
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1985 |
33. |
S. M. Nikol'skii, P. I. Lizorkin, “Approximation theory on the sphere”, Trudy Mat. Inst. Steklov., 172 (1985), 272–279 ; Proc. Steklov Inst. Math., 172 (1987), 295–302 |
6
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34. |
P. I. Lizorkin, “On the theory of degenerate elliptic equations”, Trudy Mat. Inst. Steklov., 172 (1985), 235–251 ; Proc. Steklov Inst. Math., 172 (1987), 257–274 |
5
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1984 |
35. |
P. I. Lizorkin, M. O. Otelbaev, “Estimates of approximate numbers of the imbedding operators for spaces of Sobolev type with weights”, Trudy Mat. Inst. Steklov., 170 (1984), 213–232 ; Proc. Steklov Inst. Math., 170 (1987), 245–266 |
9
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36. |
S. M. Nikol'skii, P. I. Lizorkin, “Approximation by spherical polynomials”, Trudy Mat. Inst. Steklov., 166 (1984), 186–200 ; Proc. Steklov Inst. Math., 166 (1986), 207–222 |
22
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1983 |
37. |
P. I. Lizorkin, S. M. Nikol'skii, “Approximation on a sphere in the metric of the continuous functions”, Dokl. Akad. Nauk SSSR, 272:3 (1983), 524–528 |
38. |
P. I. Lizorkin, S. M. Nikol'skii, “Approximation on the sphere in $L_2$”, Dokl. Akad. Nauk SSSR, 271:5 (1983), 1059–1063 |
1
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39. |
P. I. Lizorkin, S. M. Nikol'skii, “Coercive properties of an elliptic equation with degeneration and a generalized right-hand side”, Trudy Mat. Inst. Steklov., 161 (1983), 157–183 ; Proc. Steklov Inst. Math., 161 (1984), 171–198 |
25
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1981 |
40. |
P. I. Lizorkin, S. M. Nikol'skii, “Coercive properties of an elliptic equation with degeneracy”, Dokl. Akad. Nauk SSSR, 259:1 (1981), 28–30 |
4
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41. |
P. I. Lizorkin, S. M. Nikol'skii, “Elliptic equations with degeneracy. Differential properties of solutions”, Dokl. Akad. Nauk SSSR, 257:2 (1981), 278–282 |
11
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42. |
P. I. Lizorkin, S. M. Nikol'skii, “An elliptic equation with degeneracy. A variational method”, Dokl. Akad. Nauk SSSR, 257:1 (1981), 42–45 |
6
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43. |
P. I. Lizorkin, S. M. Nikol'skii, “Coercive properties of elliptic equations with degeneration. Variational method”, Trudy Mat. Inst. Steklov., 157 (1981), 90–118 |
25
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1980 |
44. |
P. I. Lizorkin, M. Otelbaev, “Imbedding theorems and compactness for spaces of Sobolev type with weights. II”, Mat. Sb. (N.S.), 112(154):1(5) (1980), 56–85 ; Math. USSR-Sb., 40:1 (1981), 51–77 |
24
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45. |
P. I. Lizorkin, “Estimate of mixed and intermediate derivatives in weighted $L_p$-norms”, Trudy Mat. Inst. Steklov., 156 (1980), 130–142 ; Proc. Steklov Inst. Math., 156 (1983), 141–153 |
17
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1979 |
46. |
P. I. Lizorkin, M. Otelbaev, “Imbedding theorems and compactness for spaces of Sobolev type with weights”, Mat. Sb. (N.S.), 108(150):3 (1979), 358–377 ; Math. USSR-Sb., 36:3 (1980), 331–349 |
23
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47. |
P. I. Lizorkin, “Behavior at infinity of functions from Liouville classes. Riesz potentials of arbitrary order”, Trudy Mat. Inst. Steklov., 150 (1979), 174–197 ; Proc. Steklov Inst. Math., 150 (1981), 185–209 |
4
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1978 |
48. |
P. I. Lizorkin, “On the closure of the set of compactly supported functions in the weighted space $W^l_{p,\Phi}$”, Dokl. Akad. Nauk SSSR, 239:4 (1978), 789–792 |
2
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1977 |
49. |
P. I. Lizorkin, “Bases and multipliers in the spaces $B^r_{p,\theta }(\Pi)$”, Trudy Mat. Inst. Steklov., 143 (1977), 88–104 ; Proc. Steklov Inst. Math., 143 (1980), 93–110 |
3
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1976 |
50. |
P. I. Lizorkin, “Interpolation of $L_p$ spaces with weight”, Trudy Mat. Inst. Steklov., 140 (1976), 201–211 ; Proc. Steklov Inst. Math., 140 (1979), 221–232 |
1
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1975 |
51. |
P. I. Lizorkin, “Interpolation of weighted $L_p$-spaces”, Dokl. Akad. Nauk SSSR, 222:1 (1975), 32–35 |
2
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52. |
P. I. Lizorkin, “The functional characterization of the interpolation spaces $(L_p(\Omega),W^1_p(\Omega))_{\theta,p}$”, Trudy Mat. Inst. Steklov., 134 (1975), 180–203 ; Proc. Steklov Inst. Math., 134 (1977), 203–227 |
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1974 |
53. |
P. I. Lizorkin, “Properties of functions in the spaces $\Lambda ^r_{p,\theta }$”, Trudy Mat. Inst. Steklov., 131 (1974), 158–181 ; Proc. Steklov Inst. Math., 131 (1974), 165–188 |
3
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1972 |
54. |
P. I. Lizorkin, “On a theorem of Marcinkiewicz type for $H$-valued functions. A continual form of the Paley–Littlewood theorem”, Mat. Sb. (N.S.), 87(129):2 (1972), 229–235 ; Math. USSR-Sb., 16:2 (1972), 237–243 |
2
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55. |
P. I. Lizorkin, “Generalized Hölder classes of functions in connection with fractional differentiation”, Trudy Mat. Inst. Steklov., 128 (1972), 172–177 ; Proc. Steklov Inst. Math., 128 (1972), 203–209 |
1
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56. |
P. I. Lizorkin, “Operators connected with fractional differentiation, and classes of differentiable functions”, Trudy Mat. Inst. Steklov., 117 (1972), 212–243 ; Proc. Steklov Inst. Math., 117 (1972), 251–286 |
14
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1970 |
57. |
P. I. Lizorkin, “Multipliers of Fourier integrals and bounds of convolution in spaces with mixed norms. Applications”, Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970), 218–247 ; Math. USSR-Izv., 4:1 (1970), 225–255 |
20
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58. |
P. I. Lizorkin, “Description of the spaces $L_p^r(R^n)$ in terms of singular difference integrals”, Mat. Sb. (N.S.), 81(123):1 (1970), 79–91 ; Math. USSR-Sb., 10:1 (1970), 77–89 |
18
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1969 |
59. |
P. I. Lizorkin, S. M. Nikol'skii, “Compactness of sets of differentiable functions”, Trudy Mat. Inst. Steklov., 105 (1969), 168–177 ; Proc. Steklov Inst. Math., 105 (1969), 203–215 |
2
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60. |
P. I. Lizorkin, “Generalized Liouville differentiation and the multiplier method in the theory of imbeddings of classes of differentiable functions”, Trudy Mat. Inst. Steklov., 105 (1969), 89–167 ; Proc. Steklov Inst. Math., 105 (1969), 105–202 |
35
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1968 |
61. |
P. I. Lizorkin, “Generalized Liouville differentiation and the method of multiplicators in imbedding theory for function classes”, Mat. Zametki, 4:4 (1968), 467–482 ; Math. Notes, 4:4 (1968), 771–779 |
1
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62. |
P. I. Lizorkin, “Generalized Hölder spaces $B^{(r)}_{p,\theta}$ and their correlations with the Sobolev spaces $L_p^{(r)}$”, Sibirsk. Mat. Zh., 9:5 (1968), 1127–1152 ; Siberian Math. J., 9:5 (1968), 837–858 |
14
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1967 |
63. |
O. V. Besov, P. I. Lizorkin, “Singular integral operators and sequences of convolutions in $L_p$ spaces”, Mat. Sb. (N.S.), 73(115):1 (1967), 65–88 ; Math. USSR-Sb., 2:1 (1967), 57–76 |
7
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64. |
P. I. Lizorkin, “On multipliers of Fourier integrals in the spaces $L_{p,\theta}$”, Trudy Mat. Inst. Steklov., 89 (1967), 231–248 |
18
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65. |
P. I. Lizorkin, “Theorems of Littlewood–Paley type for multiple Fourier integrals”, Trudy Mat. Inst. Steklov., 89 (1967), 214–230 |
4
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1966 |
66. |
P. I. Lizorkin, “Nonisotropic Bessel potentials. Imbedding theorems for the Sobolev space $L_p^{(r_1,\dots,r_n)}$ with fractional derivatives”, Dokl. Akad. Nauk SSSR, 170:3 (1966), 508–511 |
7
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67. |
O. V. Besov, V. P. Il'in, P. I. Lizorkin, “The $L_p$-estimates of a certain class of non-isotropically singular integrals”, Dokl. Akad. Nauk SSSR, 169:6 (1966), 1250–1253 |
6
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1965 |
68. |
P. I. Lizorkin, “Fourier transformation in Besov spaces. The zero scale of $B^0_{p,\theta}$”, Dokl. Akad. Nauk SSSR, 163:6 (1965), 1318–1321 |
1
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69. |
P. I. Lizorkin, “Bounds for trigonometrical integrals and an inequality of Bernstein for fractional derivatives”, Izv. Akad. Nauk SSSR Ser. Mat., 29:1 (1965), 109–126 |
15
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70. |
P. I. Lizorkin, S. M. Nikol'skii, “Classification of differentiable functions on the basis of spaces with dominant mixed derivatives”, Trudy Mat. Inst. Steklov., 77 (1965), 143–167 |
12
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1964 |
71. |
S. M. Nikol'skii, P. I. Lizorkin, “Some inequalities for functions of weight classes and boundary-value problems with strong degeneracy on the boundary”, Dokl. Akad. Nauk SSSR, 159:3 (1964), 512–515 |
4
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72. |
P. I. Lizorkin, “Functions of Hirschman type and relations between the spaces $B_p^r(E_n)$ and $L_p^r(E_n)$”, Mat. Sb. (N.S.), 63(105):4 (1964), 505–535 |
1
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1963 |
73. |
P. I. Lizorkin, “$(L_p,L_q)$-multipliers of Fourier integrals”, Dokl. Akad. Nauk SSSR, 152:4 (1963), 808–811 |
10
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74. |
P. I. Lizorkin, “Characteristics of boundary values of functions of $L^r_p(E_n)$ on hyperplanes”, Dokl. Akad. Nauk SSSR, 150:5 (1963), 984–986 |
3
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75. |
P. I. Lizorkin, “Generalized Liouville differentiation and the functional spaces
$L_p^r(E_n)$. Imbedding theorems”, Mat. Sb. (N.S.), 60(102):3 (1963), 325–353 |
26
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1962 |
76. |
P. I. Lizorkin, “$L_p^r(\Omega)$ spaces. Continuation and imbedding theorems”, Dokl. Akad. Nauk SSSR, 145:3 (1962), 527–530 |
3
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77. |
P. I. Lizorkin, “Imbedding theorems for functions of $L_p^r$”, Dokl. Akad. Nauk SSSR, 143:5 (1962), 1042–1045 |
2
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1961 |
78. |
P. I. Lizorkin, “The Green's $E$-function of a Beltrami operator and some variational problems”, Dokl. Akad. Nauk SSSR, 139:5 (1961), 1052–1055 |
79. |
A. A. Vasharin, P. I. Lizorkin, “Certain boundary-value problems for elliptic equations with strong degeneration at the boundary”, Dokl. Akad. Nauk SSSR, 137:5 (1961), 1015–1018 |
1
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1960 |
80. |
P. I. Lizorkin, “The Dirichlet principle for the Beltrami equation in a semi-space”, Dokl. Akad. Nauk SSSR, 134:4 (1960), 761–764 |
1
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81. |
P. I. Lizorkin, “Boundary properties of functions from “weight” classes”, Dokl. Akad. Nauk SSSR, 132:3 (1960), 514–517 |
2
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1993 |
82. |
O. V. Besov, V. A. Il'in, P. I. Lizorkin, S. M. Nikol'skii, S. I. Pokhozhaev, T. S. Pigolkina, “Lev Dmitrievich Kudryavtsev (on his seventieth birthday)”, Uspekhi Mat. Nauk, 48:4(292) (1993), 242–244 ; Russian Math. Surveys, 48:4 (1993), 261–265 |
2
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1992 |
83. |
O. V. Besov, E. A. Volkov, V. K. Dzyadyk, N. P. Korneichuk, L. D. Kudryavtsev, P. I. Lizorkin, “Sergei Mikhailovich Nikol'skii (On occasion of eighty fifth birthday)”, Trudy Mat. Inst. Steklov., 201 (1992), 3–13 ; Proc. Steklov Inst. Math., 201 (1994), 1–9 |
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1984 |
84. |
V. A. Il'in, L. D. Kudryavtsev, P. I. Lizorkin, S. M. Nikol'skii, A. A. Samarskii, A. N. Tikhonov, “Ivan Aleksandrovich Kipriyanov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 39:2(236) (1984), 213–214 ; Russian Math. Surveys, 39:2 (1984), 219–221 |
1
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1983 |
85. |
S. M. Nikol'skii, O. V. Besov, P. I. Lizorkin, “Lev Dmitrievich Kudryavtsev (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 38:3(231) (1983), 205–210 ; Russian Math. Surveys, 38:3 (1983), 179–185 |
1
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1978 |
86. |
P. I. Lizorkin, “Intgegral transformations of generalized functions: Yu. A. Brychkov and A. P. Prudnikov. 286 p. “Nauka”, Moscow, 1977. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 18:4 (1978), 1063–1064 ; U.S.S.R. Comput. Math. Math. Phys., 18:4 (1978), 251–252 |
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1977 |
87. |
K. A. Bezhanov, O. V. Besov, A. V. Bitsadze, I. A. Borachinsky, A. A. Vasharin, V. S. Vladimirov, N. V. Zvolinsky, V. A. Il'in, V. P. Korobeinikov, L. D. Kudryavtsev, L. P. Kuptsov, P. I. Lizorkin, Yu. I. Makarychev, V. E. Mirakov, V. P. Mikhailov, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Nikol'skii, A. P. Novikov, T. S. Pigolkina, S. I. Pokhozhaev, E. A. Romishevsky, S. L. Sobolev, S. V. Uspenskii, M. I. Shabunin, G. N. Yakovlev, “Владимир Михайлович Шалов (некролог)”, Differ. Uravn., 13:6 (1977), 1149–1153 |
4
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88. |
P. I. Lizorkin, S. M. Nikol'skii, S. L. Sobolev, S. V. Uspenskii, “The Fifth Soviet–Czechoslovak Meeting on Applications of Methods of Function Theory and Functional Analysis for Problems of Mathematical Physics”, Uspekhi Mat. Nauk, 32:3(195) (1977), 217–225 |
3
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1972 |
89. |
L. D. Kudryavtsev, P. I. Lizorkin, S. M. Nikol'skii, S. L. Sobolev, “Vladimir Iosifovich Kondrashov (obituary)”, Uspekhi Mat. Nauk, 27:2(164) (1972), 149–155 ; Russian Math. Surveys, 27:2 (1972), 83–90 |
2
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1963 |
90. |
P. I. Lizorkin, “Methods of Mathematical Physics, Vol. 2. Partial Differential Equations. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 3:2 (1963), 411–412 ; U.S.S.R. Comput. Math. Math. Phys., 3:2 (1963), 548–550 |
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