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Volosivets, Sergei Sergeevich
Associate professor
Candidate of physico-mathematical sciences (1993)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: modified Hardy-Littlewood operator, modified Hardy operator, $\bf P$-adic H\"older-Besov spaces, $\bf P$-adic Hardy spaces, $\bf P$-adic $BMO$.

https://www.mathnet.ru/eng/person18594
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/333258
https://www.researchgate.net/profile/Sergey_Volosivets

Publications in Math-Net.Ru Citations
2024
1. S. S. Volosivets, “Integrability and Boas type results for a generalized Fourier–Bessel transform”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 9,  3–15  mathnet
2. N. Yu. Agafonova, S. S. Volosivets, “Integrability of series with respect to multiplicative systems and generalized derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  3–14  mathnet
3. S. S. Volosivets, “Generalized Multiple Multiplicative Fourier Transform and Estimates of Integral Moduli of Continuity”, Mat. Zametki, 115:4 (2024),  578–588  mathnet  mathscinet; Math. Notes, 115:4 (2024), 528–537  scopus
4. S. S. Volosivets, “Estimates for the second Hankel–Clifford transform and Titchmarsh equivalence theorem”, Probl. Anal. Issues Anal., 13(31):2 (2024),  144–154  mathnet
2023
5. S. S. Volosivets, Yu. I. Krotova, “Boas and Titchmarsh Type Theorems for Generalized Lipschitz Classes and $q$-Bessel Fourier Transform”, Mat. Zametki, 114:1 (2023),  68–80  mathnet  mathscinet; Math. Notes, 114:1 (2023), 55–65  scopus 1
6. S. S. Volosivets, “Weighted integrability results for first Hankel-Clifford transform”, Probl. Anal. Issues Anal., 12(30):2 (2023),  107–117  mathnet 1
7. S. S. Volosivets, “Polynomial approximation with respect to multiplicative systems in the Morrey space”, Sibirsk. Mat. Zh., 64:1 (2023),  40–55  mathnet  mathscinet; Siberian Math. J., 64:1 (2023), 33–47 1
2022
8. S. S. Volosivets, “Realization functionals and description of a modulus of smoothness in variable exponent Lebesgue spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 6,  13–25  mathnet; Russian Math. (Iz. VUZ), 66:6 (2022), 8–19 1
9. S. S. Volosivets, B. I. Golubov, “Weighted Integrability of Multiple Multiplicative Fourier Transforms”, Mat. Zametki, 111:3 (2022),  365–374  mathnet  mathscinet; Math. Notes, 111:3 (2022), 364–372  scopus 1
10. S. S. Volosivets, “Approximation by linear means of Fourier series and realization functionals in weighted Orlicz spaces”, Probl. Anal. Issues Anal., 11(29):2 (2022),  106–118  mathnet  mathscinet 2
11. S. S. Volosivets, A. N. Mingachev, “Generalized absolute convergence of Fourier series with respect to multiplicative systems of functions of generalized bounded fluctuation”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  78–90  mathnet  mathscinet  elib
12. B. I. Golubov, S. S. Volosivets, “Fourier Transforms of Convolutions of Functions in Lebesgue and Lorentz Spaces”, Trudy Mat. Inst. Steklova, 319 (2022),  94–105  mathnet  mathscinet; Proc. Steklov Inst. Math., 319 (2022), 85–96  scopus
2021
13. S. S. Volosivets, A. A. Tyuleneva, “Approximation properties of partial Fourier sums in the $p$-variation metric”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200 (2021),  29–35  mathnet
14. B. I. Golubov, S. S. Volosivets, “Fourier transform and continuity of functions of bounded $\Phi$-variation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 199 (2021),  43–49  mathnet
15. S. S. Volosivets, S. A. Krayukhin, “Criteria for a Function to Belong to the $p$-Variational Besov Space”, Mat. Zametki, 109:1 (2021),  27–35  mathnet  mathscinet  elib; Math. Notes, 109:1 (2021), 21–28  isi  scopus
16. S. S. Volosivets, “Modified modulus of smoothness and approximation in weighted Lorentz spaces by Borel and Euler means”, Probl. Anal. Issues Anal., 10(28):1 (2021),  87–100  mathnet  isi  elib 4
17. S. S. Volosivets, “Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups”, Sibirsk. Mat. Zh., 62:1 (2021),  42–54  mathnet  elib; Siberian Math. J., 62:1 (2021), 32–43  isi  scopus 1
2020
18. S. S. Volosivets, “Hausdorff operators of special kind in $BMO$-type spaces and Hölder–Lipschitz spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 12,  8–21  mathnet; Russian Math. (Iz. VUZ), 64:12 (2020), 6–19  isi  scopus
19. S. S. Volosivets, M. A. Kuznetsova, “Generalized Absolute Convergence of Single and Double Series in Multiplicative Systems”, Mat. Zametki, 107:2 (2020),  195–209  mathnet  mathscinet  elib; Math. Notes, 107:2 (2020), 217–230  isi  elib  scopus 1
2019
20. S. S. Volosivets, B. I. Golubov, “Modified Hardy and Hardy–Littlewood fractional operators in Morrey–Herz spaces and their commutators in weighted spaces”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 171 (2019),  70–77  mathnet 1
21. S. S. Volosivets, N. N. Zaitsev, “Martingale inequalities in symmetric spaces with semimultiplicative weight”, Izv. Saratov Univ. Math. Mech. Inform., 19:2 (2019),  126–133  mathnet  elib
22. S. S. Volosivets, B. I. Golubov, “Fractional modified Hardy and Hardy–Littlewood operators and their commutators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 9,  16–26  mathnet; Russian Math. (Iz. VUZ), 63:9 (2019), 12–21  isi  scopus 1
23. S. S. Volosivets, “Double cosine-sine series and Nikol'skii classes in uniform metric”, Probl. Anal. Issues Anal., 8(26):3 (2019),  187–203  mathnet
2018
24. S. S. Volosivets, A. A. Tyuleneva, “Estimates of best approximations of transformed Fourier series in $L^p$-norm and $p$-variational norm”, Fundam. Prikl. Mat., 22:1 (2018),  111–126  mathnet; J. Math. Sci., 250:3 (2020), 463–474
25. S. S. Volosivets, B. I. Golubov, “Generalized absolute convergence of series from Fourier coeficients by systems of Haar type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1,  10–20  mathnet; Russian Math. (Iz. VUZ), 62:1 (2018), 7–16  isi  scopus 2
2017
26. S. S. Volosivets, A. E. Vezhlev, “Embeddings of generalized bounded variation function spaces into spaces of functions with given majorant of average modulus of continuity”, Izv. Saratov Univ. Math. Mech. Inform., 17:3 (2017),  255–266  mathnet  elib
27. S. S. Volosivets, M. A. Kuznetsova, “Multiplicative convolutions of functions from Lorentz spaces and convergence of series from Fourier–Vilenkin coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5,  32–44  mathnet; Russian Math. (Iz. VUZ), 61:5 (2017), 26–37  isi  scopus
28. S. S. Volosivets, “Series in Multiplicative Systems in Lorentz Spaces”, Mat. Zametki, 102:3 (2017),  339–354  mathnet  mathscinet  elib; Math. Notes, 102:3 (2017), 310–324  isi  scopus 1
29. S. S. Volosivets, “Approximation of functions and their conjugates in variable Lebesgue spaces”, Mat. Sb., 208:1 (2017),  48–64  mathnet  mathscinet  zmath  elib; Sb. Math., 208:1 (2017), 44–59  isi  scopus 21
2016
30. S. S. Volosivets, “Approximation of Polynomials in the Haar System in Weighted Symmetric Spaces”, Mat. Zametki, 99:5 (2016),  649–657  mathnet  mathscinet  elib; Math. Notes, 99:5 (2016), 643–651  isi  elib  scopus 5
31. S. S. Volosivets, T. V. Likhacheva, “Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems”, Sibirsk. Mat. Zh., 57:3 (2016),  617–631  mathnet  mathscinet  elib; Siberian Math. J., 57:3 (2016), 486–497  isi  elib  scopus 4
2015
32. S. S. Volosivets, T. V. Likhacheva, “Several questions of approximation by polynomials with respect to multiplicative systems in weighted $L^p$ spaces”, Izv. Saratov Univ. Math. Mech. Inform., 15:3 (2015),  251–258  mathnet  elib 3
33. S. S. Volosivets, “Hardy–Goldberg operator and its conjugate one in Hardy spaces and $BMO(\mathbb T)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2,  18–29  mathnet; Russian Math. (Iz. VUZ), 59:2 (2015), 14–24  scopus 1
34. S. S. Volosivets, B. I. Golubov, “Uniform Convergence and Integrability of Multiplicative Fourier Transforms”, Mat. Zametki, 98:1 (2015),  44–60  mathnet  mathscinet  elib; Math. Notes, 98:1 (2015), 53–67  isi  scopus 1
35. S. S. Volosivets, “Approximation by polynomials with respect to multiplicative systems in weighted $L^p$-spaces”, Sibirsk. Mat. Zh., 56:1 (2015),  82–93  mathnet  mathscinet  elib; Siberian Math. J., 56:1 (2015), 68–77  isi  elib  scopus 4
2014
36. S. S. Volosivets, “Modified Bessel ${\mathbf P}$-integrals and $\mathbf P$-derivatives and their properties”, Izv. RAN. Ser. Mat., 78:5 (2014),  27–52  mathnet  mathscinet  zmath  elib; Izv. Math., 78:5 (2014), 877–901  isi  elib  scopus
37. S. S. Volosivets, “Embedding Theorems for $\mathbf{P}$-nary Hardy and $VMO$ Spaces”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014),  518–525  mathnet  elib
38. S. S. Volosivets, R. N. Fadeev, “Weighted integrability of sums of series with respect to multiplicative systems”, Izv. Saratov Univ. Math. Mech. Inform., 14:2 (2014),  129–136  mathnet  elib
2013
39. S. S. Volosivets, R. N. Fadeev, “Weighted integrability of double series with respect to multiplicative systems”, Fundam. Prikl. Mat., 18:5 (2013),  69–87  mathnet  mathscinet; J. Math. Sci., 209:1 (2015), 51–65  scopus
40. S. S. Volosivets, “Identities of Titchmarsh Type for Generalized Hardy and Hardy–Littlewood Operators”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  28–33  mathnet 1
41. S. S. Volosivets, “Hausdorff Operators on $p$-Adic Linear Spaces and Their Properties in Hardy, $BMO$, and Hölder Spaces”, Mat. Zametki, 93:3 (2013),  357–367  mathnet  mathscinet  elib; Math. Notes, 93:3 (2013), 382–391  isi  elib  scopus 34
42. S. S. Volosivets, B. I. Golubov, “Fourier transforms in generalized Lipschitz classes”, Trudy Mat. Inst. Steklova, 280 (2013),  126–137  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 280 (2013), 120–131  isi  elib  scopus 3
2012
43. S. S. Volosivets, “The weighted $L^1$-integrability of functions and the Parseval equality with respect to multiplicative systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 8,  15–26  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:8 (2012), 11–21  scopus
44. S. S. Volosivets, “The modified $\mathbf P$-integral and $\mathbf P$-derivative and their applications”, Mat. Sb., 203:5 (2012),  3–32  mathnet  mathscinet  zmath  elib; Sb. Math., 203:5 (2012), 613–644  isi  scopus 6
2011
45. S. S. Volosivets, “Modified Hardy and Hardy–Littlewood operators and their behaviour in various spaces”, Izv. RAN. Ser. Mat., 75:1 (2011),  29–52  mathnet  mathscinet  zmath  elib; Izv. Math., 75:1 (2011), 29–51  isi  elib  scopus 9
46. S. S. Volosivets, “On weighted analogs of Wiener's and Levy's theorems for Fourier–Vilenkin series”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011),  3–7  mathnet
47. S. S. Volosivets, “Generalization of the Multiplicative Fourier Transform and Its Properties”, Mat. Zametki, 89:3 (2011),  323–330  mathnet  mathscinet; Math. Notes, 89:3 (2011), 311–318  scopus 3
2010
48. S. S. Volosivets, B. I. Golubov, “Weighted integrability of multiplicative Fourier transforms”, Trudy Mat. Inst. Steklova, 269 (2010),  71–81  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 269 (2010), 65–75  isi  elib  scopus 3
2009
49. S. S. Volosivets, “Absolute convergence of single and double Fourier series on multiplicative systems”, Izv. Saratov Univ. Math. Mech. Inform., 9:3 (2009),  7–14  mathnet  elib
50. S. S. Volosivets, “Applications of $\mathbf P$-adic generalized functions and approximations by a system of $\mathbf P$-adic translations of a function”, Sibirsk. Mat. Zh., 50:1 (2009),  3–18  mathnet  mathscinet  elib; Siberian Math. J., 50:1 (2009), 1–13  isi  scopus 5
2008
51. S. S. Volosivets, “On convergence of Fourier–Vilenkin series in $L^p[0,1)$, $0<p\le1$”, Izv. Saratov Univ. Math. Mech. Inform., 8:3 (2008),  3–9  mathnet
52. S. S. Volosivets, “Convergence of series of Fourier coefficients for multiplicative convolutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11,  27–39  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 52:11 (2008), 23–34 2
53. S. S. Volosivets, B. I. Golubov, “Hardy and Bellman operators in spaces connected with $H(\mathbb T)$ and $BMO(\mathbb T)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5,  4–13  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 52:5 (2008), 1–8 1
54. S. S. Volosivets, “Hardy and Bellman transformations of series with respect to multiplicative systems”, Mat. Sb., 199:8 (2008),  3–28  mathnet  mathscinet  elib; Sb. Math., 199:8 (2008), 1111–1137  isi  elib  scopus 2
2007
55. N. Yu. Agafonova, S. S. Volosivets, “Multipliers of Convergence in Norm of Series with Respect to Multiplicative Systems”, Mat. Zametki, 82:4 (2007),  483–494  mathnet  mathscinet  zmath  elib; Math. Notes, 82:4 (2007), 433–442  isi  scopus
2006
56. S. S. Volosivets, “The modified multiplicative integral and derivative of arbitrary order on the semiaxis”, Izv. RAN. Ser. Mat., 70:2 (2006),  3–24  mathnet  mathscinet  zmath  elib; Izv. Math., 70:2 (2006), 211–231  isi  elib  scopus 7
57. S. S. Volosivets, “Refined theorems of approximation theory in the space of $p$-absolutely continuous functions”, Mat. Zametki, 80:5 (2006),  701–711  mathnet  mathscinet  zmath  elib; Math. Notes, 80:5 (2006), 663–672  isi  elib  scopus 7
58. S. S. Volosivets, “Convergence of fourier series with respect to multiplicative systems and the $p$-fluctuation continuity modulus”, Sibirsk. Mat. Zh., 47:2 (2006),  241–258  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:2 (2006), 193–208  isi  elib  scopus 8
2005
59. S. S. Volosivets, “A modified $\mathbf P$-adic integral and a modified $\mathbf P$-adic derivative for functions defined on a half-axis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 6,  28–39  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 49:6 (2005), 25–36 7
1998
60. S. S. Volosivets, “Specifications of direct and inverse approximation theorems for $p$-absolutely continuous functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 5,  55–56  mathnet  mathscinet  zmath
1997
61. S. S. Volosivets, “Approximation of functions of bounded $p$-variation by polynomials in terms of the Faber–Schauder system”, Mat. Zametki, 62:3 (1997),  363–371  mathnet  mathscinet  zmath; Math. Notes, 62:3 (1997), 306–313  isi 1
1996
62. S. S. Volosivets, “Polynomials of best approximation and relations between moduli of continuity in spaces of functions of bounded $p$-variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 9,  21–26  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:9 (1996), 18–23 5
1995
63. S. S. Volosivets, “Asymptotic properties of one compact set of smooth functions in the space of functions of bounded $p$-variation”, Mat. Zametki, 57:2 (1995),  214–227  mathnet  mathscinet  zmath  elib; Math. Notes, 57:2 (1995), 148–157  isi 5
1993
64. S. S. Volosivets, “Approximation of functions of bounded $p$-variation by means of polynomials of the Haar and Walsh systems”, Mat. Zametki, 53:6 (1993),  11–21  mathnet  mathscinet  zmath  elib; Math. Notes, 53:6 (1993), 569–575  isi 6
1992
65. S. S. Volosivets, “On the $\varepsilon$-entropy of some sets of functions of bounded $p$-variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 2,  83–85  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:2 (1992), 83–85 1
66. S. S. Volosivets, “On the $\varepsilon$-entropy and widths of a compact set of smooth functions in the space of functions of bounded $p$-variation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 5,  81–84  mathnet  mathscinet  zmath 1

Presentations in Math-Net.Ru
1. Приближение линейными средними рядов Фурье по мультипликативным системам в пространствах $S_p(\chi)$
A. N. Mingachev, S. S. Volosivets
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 31, 2024 17:50   
2. Приближение полиномами Хаара и Уолша в весовых обобщенных гранд пространствах Лебега
S. S. Volosivets, B. I. Golubov
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 31, 2024 16:50   
3. Кратные коэффициенты Фурье и обобщенные классы Липшица в равномерной метрике
S. S. Volosivets
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 16:40

Organisations
 
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