Persons: Stepanov, Vladimir Dmitrievich

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Stepanov, Vladimir Dmitrievich

Total publications:	153 (149)
in MathSciNet:	151 (149)
in zbMATH:	117 (116)
in Web of Science:	115 (114)
in Scopus:	117 (116)
Cited articles:	105
Citations:	1032
Presentations:	23

Number of views:
This page:	11770
Abstract pages:	22878
Full texts:	5518
References:	1808

Corresponding member of RAS

Professor

Doctor of physico-mathematical sciences (1985)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

Birth date:

13.12.1949

E-mail:

Keywords:

integral and differential operators in function spaces.

https://www.mathnet.ru/eng/person21556

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/196932

https://elibrary.ru/author_items.asp?authorid=3857

https://www.webofscience.com/wos/author/record/Q-6899-2016

https://www.scopus.com/authid/detail.url?authorId=7402660100

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	D. V. Prokhorov, V. D. Stepanov, “On weighted discrete Hardy and Riemann-Liouville inequalities”, Mat. Zametki, 117:1 (2025), 128–145 (to appear)
2.	V. D. Stepanov, E. P. Ushakova, “Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator”, Math. Notes, 115:3 (2024), 392–406
3.	V. D. Stepanov, E. P. Ushakova, “Strong and weak associativity of weighted Sobolev spaces of the first order”, Russian Math. Surveys, 78:1 (2023), 165–202
4.	Vladimir D. Stepanov, Elena P. Ushakova, “Weighted Hardy inequality with two-dimensional rectangular operator: the case $q<p$”, Math. Inequal. Appl., 26:1 (2023), 267–288
5.	M. L. Goldman, V. D. Stepanov, “Riemann–Liouville Space of Fractional Potentials on the Half-Line”, Proc. Steklov Inst. Math., 323 (2023), 120–129
6.	V. D. Stepanov, “On Spaces Associated with Weighted Cesàro and Copson Spaces”, Math. Notes, 111:3 (2022), 470–477
7.	V. D. Stepanov, E. P. Ushakova, “Compactness of the two-dimensional rectangular Hardy operator”, Math. Inequal. Appl., 25:2 (2022), 535–549
8.	V. D. Stepanov, “On Cesàro and Copson type function spaces. Reflexivity”, J. Math. Anal. Appl., 507:1 (2022), 125764 , 18 pp.	5 ^[x]
9.	V. D. Stepanov, E. P. Ushakova, “On the boundedness and compactness of the two-dimensional rectangular Hardy operator”, Dokl. Math., 106:2 (2022), 361–365
10.	Vladimir D. Stepanov, “On the boundedness of the Hilbert transform from weighted Sobolev space to weighted Lebesgue space”, J. Fourier Anal. Appl., 28:3 (2022), 46 , 17 pp.	2 ^[x]
11.	V. D. Stepanov, G. E. Shambilova, “On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces”, Proc. Steklov Inst. Math., 312 (2021), 241–248
12.	V. D. Stepanov, E. P. Ushakova, “On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem”, Math. Inequal. Appl., 24:3 (2021), 617–634	1 ^[x]
13.	V. D. Stepanov, E. P. Ushakova, S. E. Zhukovskiy, “Two-dimensional Hardy operator in Lebesgue spaces”, Short Paper Proceedings of the VI International Conference on Information Technologies and High-Performance Computing (ITHPC 2021), Information Technologies and High-Performance Computing (Khabarovsk, Russia, September 14-16, 2021), CEUR Workshop Proceedings, 2930, 2021 , 6 pp. https://ceur-ws.org/Vol-2930/paper22.pdf
14.	Math. Notes, 107:2 (2020), 247–256
15.	P. Jain, S. Jain, V. D. Stepanov, “LCT based integral transforms and Hausdorff operators”, Eurasian Math. J., 11:1 (2020), 57–71	10 ^[x]
16.	V. D. Stepanov, G. È. Shambilova, Siberian Math. J., 61:4 (2020), 725–742
17.	V. D. Stepanov, G. È. Shambilova, “Bilinear Weighted Inequalities with Two-Dimensional Operators”, Dokl. Math., 102:2 (2020), 406–408
18.	Pankaj Jain, Saikat Kanjilal, Guldarya E. Shambilova, Vladimir D. Stepanov, “Bilinear weighted Hardy-type inequalities in discrete and $q$-calculus”, Math. Inequal. Appl., 23:4 (2020), 1279–1310	2 ^[x]
19.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line”, Russian Math. Surveys, 74:6 (2019), 1075–1115
20.	V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Operators and the Duality Principle in Weighted First-Order Sobolev Spaces on the Real Axis”, Math. Notes, 105:1 (2019), 91–103
21.	Pankaj Jain, Arun Pal Singh, Monika Singh, Vladimir D. Stepanov, “Sawyer's duality principle for grand Lebesgue spaces”, Math. Nachr., 292:4 (2019), 841–849	8 ^[x]
22.	V. D. Stepanov, G. È. Shambilova, “Multidimensional bilinear Hardy inequalities”, Dokl. Math., 100:1 (2019), 374–376
23.	V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities with Volterra integral operators”, Dokl. Math., 99:3 (2019), 290–294
24.	Vladimir D. Stepanov, Guldarya E. Shambilova, “On iterated and bilinear integral Hardy-type operators”, Math. Inequal. Appl., 22:4 (2019), 1505–1533	2 ^[x]
25.	P. Jain, V. D. Stepanov, G. È. Shambilova, “Discrete Bilinear Hardy Inequalities”, Dokl. Math., 100:3 (2019), 554–557
26.	Vladimir D. Stepanov, Elena P. Ushakova, “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2019), 939–953
27.	V. D. Stepanov, G. E. Shambilova, “Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions”, Siberian Math. J., 59:3 (2018), 505–522
28.	V. D. Stepanov, G. E. Shambilova, “On Weighted Iterated Hardy-Type Operators”, Anal. Math., 44:2 (2018), 273–283	3 ^[x]
29.	V. D. Stepanov, E. P. Ushakova, “Hardy-Steklov Operators and Duality Principle in Weighted Sobolev Spaces of the First Order”, Dokl. Math., 97:3 (2018), 232–235
30.	V. D. Stepanov, G. È. Shambilova, “Iterated Integral Operators on the Cone of Monotone Functions”, Math. Notes, 104:3 (2018), 443–453
31.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376
32.	P. Jain, A. P. Singh, M. Singh, V. D. Stepanov, “Sawyer duality principle in grand Lebesgue spaces”, Dokl. Math., 97:1 (2018), 18–19
33.	Math. Notes, 104:6 (2018), 823–832
34.	P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637
35.	Dmitrii V. Prokhorov, Vladimir D. Stepanov, Elena P. Ushakova, “On associate spaces of weighted Sobolev space on the real line”, Math. Nachr., 290:5 (2017), 890–912	10 ^[x]
36.	V. D. Stepanov, G. E. Shambilova, “On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions”, Eurasian Math. J., 8:2 (2017), 47–73	4 ^[x]
37.	V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities on the cone of nondecreasing functions”, Dokl. Math., 96:3 (2017), 631–635
38.	V. D. Stepanov, G. È. Shambilova, “Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions”, Dokl. Math., 96:1 (2017), 315–320
39.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part I”, Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112
40.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part II”, Proc. Steklov Inst. Math., 302, suppl. 1 (2018), 1–61
41.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81
42.	D. V. Prokhorov, V. D. Stepanov, “Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces”, Sb. Math., 207:8 (2016), 1159–1186
43.	V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Siberian Math. J., 57:5 (2016), 884–904
44.	Lars-Erik Persson, Guldarya E. Shambilova, Vladimir D. Stepanov, “Weighted Hardy type inequalities for supremum operators on the cones of monotone functions”, J. Inequal. Appl., 2016, 237	3 ^[x]
45.	V. D. Stepanov, G. È. Shambilova, “Boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 94:3 (2016), 697–702
46.	V. D. Stepanov, “On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions”, Math. Notes, 98:6 (2015), 957–970
47.	L.-E. Persson, G. E. Shambilova, V. D. Stepanov, “Hardy-type inequalities on the weighted cones of quasi-concave functions”, Banach J. Math. Anal., 9:2 (2015), 21–34	10 ^[x]
48.	Simon P. Eveson, Vladimir D. Stepanov, Elena P. Ushakova, “A duality principle in weighted Sobolev spaces on the real line”, Math. Nachr., 288:8 (2015), 877–897	9 ^[x]
49.	V. D. Stepanov, “On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions”, Dokl. Math., 92:2 (2015), 545–547
50.	D. V. Prokhorov, V. D. Stepanov, “Estimates for a class of sublinear integral operators”, Dokl. Math., 89:3 (2014), 372–377
51.	L. Persson-E., O. V. Popova, V. D. Stepanov, “Weighted Hardy-type inequalities on the cone of quasi-concave functions”, Math. Inequal. Appl., 17:3 (2014), 879–898
52.	A. Gogatishvili, L. Persson-Erik, V. D. Stepanov, P. Wall, “Some scales of equivalent conditions to characterize the Stieltjes inequality: the case $q<p$”, Math. Nachr., 287:2-3 (2014), 242–253	4 ^[x]
53.	V. D. Stepanov. G. E. Shambilova, “Weight boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 90:2 (2014), 569–572
54.	A. Gogatishvili, V. D. Stepanov, “Reduction theorems for weighted integral inequalities on the cone of monotone functions”, Russian Math. Surveys, 68:4 (2013), 597–664
55.	D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Proc. Steklov Inst. Math., 283 (2013), 149–164
56.	D. V. Prokhorov, V. D. Stepanov, “Weighted estimates for a class of sublinear operators”, Dokl. Math., 88:3 (2013), 721–23
57.	A. Gogatishvili, V. D. Stepanov, “Reduction theorems for operators on the cones of monotone functions”, J. Math. Anal. Appl., 405:1 (2013), 156–172	15 ^[x]
58.	A. Gogatishvili, L.-E. Persson, V. D. Stepanov, P. Wall, “On scales of equivalent conditions characterizing weighted Stieltjes inequality”, Dokl. Math., 86:3 (2012), 738–739
59.	A. Gogatishvili, V. D. Stepanov, “Integral operators on cones of monotone functions”, Dokl. Math., 86:2 (2012), 650–653
60.	A. Gogatishvili, V. D. Stepanov, “Operators on cones of monotone functions”, Dokl. Math., 86:1 (2012), 562–565
61.	V. D. Stepanov, “Spectral theory, function spaces and inequalities”, Oper. Theory: Adv. Appl., 219, Birkhäuser/Springer Basel AG, Basel, 2012, 233–242
62.	V. D. Stepanov, S. Yu. Tikhonov, “Two power-weight inequalities for the Hilbert transform on the cones of monotone functions”, Complex Var. Elliptic Equ., 56:10-11 (2011), 1039–1047	9 ^[x]
63.	L. Persson-Erik, O. V. Popova, V. D. Stepanov, “Two-sided Hardy-type inequalities for monotone functions”, Complex Var. Elliptic Equ., 55:8-10 (2010), 973–989	7 ^[x]
64.	V. D. Stepanov, E. P. Ushakova, “Kernel operators with variable intervals of integration in Lebesgue spaces and applications”, Math. Inequal. Appl., 13:3 (2010), 449–510
65.	V. D. Stepanov, E. P. Ushakova, “On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces”, Banach J. Math. Anal., 4:1 (2010), 28–52	11 ^[x]
66.	V. D. Stepanov, L.-E. Persson, O. V. Popova, “Two-sided hardy-type inequalities for monotone functions”, Dokl. Math., 80:3 (2009), 814–817
67.	V. D. Stepanov, “Sharp two-sided estimates of the approximation and entropy numbers of integral operators on the semiaxis”, East J. Approx., 15:3 (2009), 329–343
68.	V. D. Stepanov, E. P. Ushakova, “Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces”, Math. Inequal. Appl., 12:4 (2009), 873–889
69.	V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278
70.	M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413
71.	V. D. Stepanov, “An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives”, Proc. Amer. Math. Soc., 136:5 (2008), 1589–1597	2 ^[x]
72.	L. Persson-Erik, V. Stepanov, P. Wall, “Some scales of equivalent weight characterizations of Hardy's inequality: the case $q<p$”, Math. Inequal. Appl., 10:2 (2007), 267–279
73.	E. N. Lomakina, V. D. Stepanov, “Asymptotic Estimates for the Approximation and Entropy Numbers of a One-Weight Riemann–Liouville Operator”, Siberian Adv. Math., 17:1 (2007), 1–36
74.	L. Persson-E., V. D. Stepanov, E. P. Ushakova, “Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions”, Proc. Amer. Math. Soc., 134:8 (2006), 2363–2372	14 ^[x]
75.	V. D. Stepanov, “An Extremal Property of Chebyshev Polynomials”, Proc. Steklov Inst. Math., 248 (2005), 230–242
76.	V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the integral operators with monotone kernel on a half-axis”, Siberian Math. J., 45:6 (2004), 1124–1134
77.	V. D. Stepanov, A. M. Khludnev, “The method of fictitious domains in the Signorini problem”, Siberian Math. J., 44:6 (2003), 1061–1074
78.	D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, Proc. Steklov Inst. Math., 243 (2003), 278–301
79.	V. D. Stepanov, E. P. Ushakova, “Hardy operator with variable limits on monotone functions”, J. Funct. Spaces Appl., 1:1 (2003), 1–15	16 ^[x]
80.	D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Siberian Math. J., 43:4 (2002), 694–707
81.	L. Persson-Erik, V. D. Stepanov, “Weighted integral inequalities with the geometric mean operator”, J. Inequal. Appl., 7:5 (2002), 727–746
82.	M. Nassyrova, L. Persson-Erik, V. Stepanov, “On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform”, JIPAM. J. Inequal. Pure Appl. Math., 3:4 (2002), Article 48, 16 pp. (electronic)
83.	V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309
84.	M. Carro, L. Pick, J. Soria, V. D. Stepanov, “On embeddings between classical Lorentz spaces”, Math. Inequal. Appl., 4:3 (2001), 397–428
85.	S. Barza, L. Persson-Erik, V. D. Stepanov, “On weighted multidimensional embeddings for monotone functions”, Math. Scand., 88:2 (2001), 303–319	3 ^[x]
86.	V. D. Stepanov, Nekotorye voprosy teorii integralnykh operatorov svertki, Dal'nauka, Vladivostok, 2000 , 228 pp.
87.	E. N. Lomakina, V. D. Stepanov, “On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators”, Function spaces and applications (1997, Delhi), Narosa, New Delhi, 2000, 153–187
88.	V. D. Stepanov, “On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators”, J. London Math. Soc. (2), 61:3 (2000), 905–922	15 ^[x]
89.	M. Nasyrova, V. Stepanov, “On maximal overdetermined Hardy's inequality of second order on a finite interval”, Math. Bohem., 124:2-3 (1999), 293–302	2 ^[x]
90.	E. Lomakina, V. Stepanov, “On the Hardy-type integral operators in Banach function spaces”, Publ. Mat., 42:1 (1998), 165–194	15 ^[x]
91.	M. Nasyrova, V. Stepanov, “On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints”, J. Inequal. Appl., 1:3 (1997), 223–238
92.	V. D. Stepanov, “On the structure of certain class of Volterra integral operators and estimates of approximation numbers”, Recent topics in operator theory concerning the structure of operators (Japanese) (Kyoto, 1996), Sūrikaisekikenkyūsho Kōkyūroku, 1997, no. 979, 34–41
93.	M. L. Gol'dman, H. P. Heinig, V. D. Stepanov, “On the principle of duality in Lorentz spaces”, Canad. J. Math., 48:5 (1996), 959–979	50 ^[x]
94.	G. Sinnamon, V. D. Stepanov, “The weighted Hardy inequality: new proofs and the case $p=1$”, J. London Math. Soc., 2nd series, 54:1 (1996), 89–101	95 ^[x]
95.	E. Lomakina, V. Stepanov, “On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces”, J. London Math. Soc. (2), 53:2 (1996), 369–382	8 ^[x]
96.	M. L. Gol'dman, V. D. Stepanov, H. P. Heinig, “On the principle of duality in Lorentz spaces”, Dokl. Math., 52:2 (1995), 264–267
97.	D. E. Edmunds, V. D. Stepanov, “On the singular numbers of certain Volterra integral operators”, J. Funct. Anal., 134:1 (1995), 222–246	16 ^[x]
98.	V. D. Stepanov, “On the singular numbers of a class of integral operators”, Dokl. Math., 49:3 (1994), 545–547
99.	V. D. Stepanov, “Weighted norm inequalities for integral operators and related topics”, Nonlinear analysis, function spaces and applications, Vol. 5 (Prague, 1994), Prometheus, Prague, 1994, 139–175
100.	E. A. Myasnikov, L. E. Persson, V. D. Stepanov, “On the best constants in certain integral inequalities for monotone functions”, Acta Sci. Math. (Szeged), 59:3-4 (1994), 613–624
101.	M. Sh. Braverman, V. D. Stepanov, “On the discrete Hardy inequality”, Bull. London Math. Soc., 26:3 (1994), 283–287	13 ^[x]
102.	V. D. Stepanov, “Weighted norm inequalities of Hardy type for a class of integral operators”, J. London Math. Soc. (2), 50:1 (1994), 105–120	46 ^[x]
103.	D. E. Edmunds, V. D. Stepanov, “The measure of noncompactness and approximation numbers of certain Volterra integral operators”, Math. Ann., 298:1 (1994), 41–66	9 ^[x]
104.	V. D. Stepanov, D. E. Edmunds, “On the measure of noncompactness and approximation numbers of a class of Volterra integral operators”, Dokl. Math., 47:3 (1993), 618–623
105.	V. D. Stepanov, “On weighted estimates for a class of integral operators”, Siberian Math. J., 34:4 (1993), 755–766
106.	V. D. Stepanov, “Integral operators on the cone of monotone functions”, J. London Math. Soc. (2), 48:3 (1993), 465–487	32 ^[x]
107.	H. P. Heinig, V. D. Stepanov, “Weighted Hardy inequalities for increasing functions”, Canad. J. Math., 45:1 (1993), 104–116	22 ^[x]
108.	V. D. Stepanov, “The weighted Hardy's inequality for nonincreasing functions”, Trans. Amer. Math. Soc., 338:1 (1993), 173–186
109.	V. D. Stepanov, “Weighted inequalities for a class of Volterra convolution operators”, J. London Math. Soc. (2), 45:2 (1992), 232–242	19 ^[x]
110.	V. D. Stepanov, “Integral operators on the cone of monotone functions and embeddings of Lorentz spaces”, Dokl. Akad. Nauk SSSR, 317:6 (1991), 1308–1311	1 ^[x]
111.	V. D. Stepanov, “Two-weighted estimates of Riemann–Liouville integrals”, Math. USSR-Izv., 36:3 (1991), 669–681
112.	V. D. Stepanov, “On the boundedness and compactness of a class of integral operators”, Dokl. Math., 41:3 (1990), 468–470
113.	V. D. Stepanov, “On one weighted inequality of Hardy type for higher derivatives”, Proc. Steklov Inst. Math., 187 (1990), 205–220
114.	V. D. Stepanov, “Weighted inequalities of Hardy type for higher-order derivatives and their applications”, Dokl. Math., 38:2 (1989), 389–393
115.	V. D. Stepanov, “Multipliers of Fourier integrals generated by characteristic functions of sets”, Dokl. Math., 37:2 (1988), 532–533
116.	V. D. Stepanov, “On the vanishing of the symbol of a convolution integral operator”, Math. USSR-Sb., 51:1 (1985), 239–253
117.	V. D. Stepanov, “On a problem of Halmos and Sunder”, Dokl. Akad. Nauk SSSR, 278:2 (1984), 296–298	1 ^[x]
118.	V. D. Stepanov, “On a problem for integral convolution operators”, Math. USSR-Sb., 48:1 (1984), 211–221
119.	V. D. Stepanov, “Characteristic properties of convolution integral operators”, Proc. Steklov Inst. Math., 161 (1984), 241–250
120.	V. D. Stepanov, “Periodic multipliers of Fourier integrals”, Math. Notes, 32:2 (1982), 551–556
121.	V. D. Stepanov, “An integral convolution operator with a narrow interval of action”, Analytic methods in the theory of elliptic equations, “Nauka” Sibirsk. Otdel., Novosibirsk, 1982, 88–107
122.	V. D. Stepanov, “On a criterion of approximation to the identity in $L^{p}(E_{n})$ by convolution transforms of dilation type”, Anal. Math., 8:3 (1982), 233–238
123.	V. B. Korotkov, V. D. Stepanov, “Criteria for the generation of integral operators by measurable functions”, Sibirsk. Mat. Zh., 23:2 (1982), 199–203, 218	2 ^[x]
124.	V. D. Stepanov, “On multipliers of Fourier integrals”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1063–1065
125.	V. D. Stepanov, “Characteristic properties of convolution integral operators”, Dokl. Akad. Nauk SSSR, 260:4 (1981), 806–808	1 ^[x]
126.	V. D. Stepanov, “Multipliers generated by hypoelliptic expressions”, Theory of cubature formulas and numerical mathematics (1978, Proc. Conf., Novosibirsk), “Nauka” Sibirsk. Otdel., Novosibirsk, 1980, 234–236, 256
127.	V. B. Korotkov, V. D. Stepanov, “Some properties of integral operators of convolution”, Application of the methods of functional analysis to problems of mathematical physics and numerical analysis (Russian), Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1979, 64–68
128.	V. D. Stepanov, “Absolute summability of the Fourier transform of functions of several variables”, Theory of cubature formulas and the application of functional analysis to problems of mathematical physics (Russian), Trudy Sem. S. L. Soboleva, No. 1, 1978, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1978, 116–121, 167
129.	V. D. Stepanov, “Convolution integral operators”, Dokl. Akad. Nauk SSSR, 243:1 (1978), 45–48
130.	V. D. Stepanov, Differ. Uravn., 12:1 (1976), 129–136
Personalia

131.	E. R. Avakov, V. I. Burenkov, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. V. Dmitruk, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. D. Stepanov, V. M. Tikhomirov, “Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 26:2 (2024), 133–136
132.	A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavk. matem. zhurn., 23:3 (2021), 126–129
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Presentations in Math-Net.Ru

1.	Contemporary problems of the theory of functional spaces and geometric analysis O. V. Besov, V. D. Stepanov Steklov Mathematical Institute Seminar May 16, 2024 16:00
2.	О прямоугольном операторе Харди в весовых пространствах Лебега V. D. Stepanov Seminar on Operator Theory and Function Theory February 19, 2024 17:30
3.	Strong and weak associated reflexivity of certain function classes V. D. Stepanov International scientific workshop OTHA Fall 2023 December 19, 2023 10:00
4.	О прямоугольном операторе Харди в весовых пространствах Лебега V. D. Stepanov, E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 29, 2023 16:00
5.	Strong and weak associativity and reflexivity of certain function classes V. D. Stepanov Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov June 1, 2023 15:00
6.	О сильной и слабой ассоциированности некоторых функциональных классов V. D. Stepanov, E. P. Ushakova Seminar on Theory of Functions of Real Variables December 2, 2022 18:30
7.	On some strong and weak associated functional classes V. D. Stepanov Optimization and nonlinear analysis November 17, 2022 14:00
8.	О сильной и слабой ассоциированности некоторых функциональных классов V. D. Stepanov Seminar on Operator Theory and Function Theory October 10, 2022 17:30
9.	Об ассоциированной рефлексивности весовых пространств С. Л. Соболева первого порядка на вещественной оси V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics May 11, 2022 16:00
10.	Билинейные неравенства типа Харди в весовых пространствах Лебега V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics September 18, 2019 16:00
11.	Характеризация ассоциативных функциональных пространств V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics October 31, 2018 16:00
12.	Характеризация ассоциативных функциональных пространств V. D. Stepanov Seminar on Theory of Functions of Real Variables October 12, 2018 18:30
13.	A duality principle in the weighted Sobolev spaces on the real line V. D. Stepanov International Conference "Geometric Analysis and Control Theory" December 8, 2016 10:00
14.	О весовых пространствах Соболева на действительной оси V. D. Stepanov Seminar on Theory of Functions of Real Variables October 30, 2015 18:30
15.	О весовых пространствах Соболева на действительной оси V. D. Stepanov, D. V. Prokhorov, E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics October 28, 2015 16:00
16.	О весовых пространствах Соболева на полуоси V. D. Stepanov, E. P. Ushakova International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 27, 2015 14:55
17.	Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis D. V. Prokhorov, V. D. Stepanov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 26, 2015 11:40
18.	Весовые неравенства для сублинейных операторов на полуоси V. D. Stepanov Seminar on Theory of Functions of Real Variables April 24, 2015 18:30
19.	Об оптимальных пространствах Банаха, содержащих конус убывающих или квазивогнутых функций V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics March 25, 2015 16:00
20.	Об оценках квазилинейных интегральных операторов на полуоси V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 13, 2013 16:00
21.	Reduction theorems for weighted integral inequalities on the cone of monotone functions V. D. Stepanov International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov November 1, 2013 10:25
22.	Весовые неравенства на монотонных функциях V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics February 15, 2012 16:00
23.	Интегральные неравенства на монотонных функциях V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics December 23, 2009 16:00

Books in Math-Net.Ru

D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, 2016, 186 с.
http://mi.mathnet.ru/book1629

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