D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part I”, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, Steklov Math. Institute of RAS, Moscow, 2016, 3–122; Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1

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Sovremennye Problemy Matematiki, 2016, Issue 22, Pages 3–122
DOI: https://doi.org/10.4213/spm55 (Mi spm55)

This article is cited in 16 scientific papers (total in 16 papers)

Hardy–Steklov Integral Operators. Part I

D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova

Steklov Mathematical Institute of Russian Academy of Sciences

Full-text PDF (1525 kB) Citations (16)

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DOI: https://doi.org/10.4213/spm55

Funding agency	Grant number
Russian Science Foundation	14-11-00443
This work was supported by the Russian Science Foundation, project no. 14-11-00443.

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, Volume 300, Issue 2, Pages 1–112
DOI: https://doi.org/10.1134/S008154381803001X

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part I”, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, Steklov Math. Institute of RAS, Moscow, 2016, 3–122; Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/spm55

https://doi.org/10.4213/spm55

https://www.mathnet.ru/eng/spm/v22/p3

Cycle of papers

Hardy–Steklov Integral Operators. Part I
D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova
Sovrem. Probl. Mat., 2016, 22, 3–122
Hardy–Steklov Integral Operators. Part II
D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova
Sovrem. Probl. Mat., 2016, 22, 123–185

This publication is cited in the following 16 articles:

D. V. Prokhorov, V. D. Stepanov, “O vesovykh diskretnykh neravenstvakh Khardi i Rimana–Liuvillya”, Matem. zametki, 117:1 (2025), 128–145
Elena P. Ushakova, “THE STUDY BY SPLINES OF NORM INEQUALITIES FOR RIEMANN–LIOUVILLE OPERATORS IN WEIGHTED BESOV SPACES”, J Math Sci, 2024
Isaac Z. Pesenson, “Analysis in Function Spaces Associated with the Group $ax+b$ ”, Results Math, 79:5 (2024)
Aigerim Kalybay, Ryskul Oinarov, “On weighted inequalities for a class of quasilinear integral operators”, Banach J. Math. Anal., 17:1 (2023)
E. P. Ushakova, K. E. Ushakova, “Norm inequalities with fractional integrals”, St. Petersburg Math. J., –
R. G. Nasibullin, “Hardy-type inequalities for the Jacobi weight with applications”, Siberian Math. J., 63:6 (2022), 1121–1139
E. P. Ushakova, “The images of integration operators in weighted function spaces”, Siberian Math. J., 63:6 (2022), 1181–1207
R. G. Nasibullin, “Hardy type inequalities with additional terms”, Russian Math. (Iz. VUZ), 66:11 (2022), 46–78
V. D. Stepanov, E. P. Ushakova, “Boundedness and compactness of the two-dimensional rectangular Hardy operator”, Dokl. Math., 106:2 (2022), 361–365
R. G. Nasibullin, R. V. Makarov, “Hardy's inequalities with remainders and lamb-type equations”, Siberian Math. J., 61:6 (2020), 1102–1119
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
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
P. Jain, V. D. Stepanov, G. È. Shambilova, “Discrete Bilinear Hardy Inequalities”, Dokl. Math., 100:3 (2019), 554–557
V. D. Stepanov, G. È. Shambilova, “Multidimensional bilinear Hardy inequalities”, Dokl. Math., 100:1 (2019), 374–376
R. G. Nasibullin, “Multidimensional Hardy Type Inequalities with Remainders”, Lobachevskii J Math, 40:9 (2019), 1383
P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, “Bilinear Hardy–Steklov Operators”, Math. Notes, 104:6 (2018), 823–832

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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