V. D. Stepanov, G. E. Shambilova, “On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces”, Trudy Mat. Inst. Steklova, 2021, Volume 312,Pages <nobr>251–258</nobr>

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Trudy Mat. Inst. Steklova, 2021 Volume 312, Pages 251–258 (Mi tm4138)

This article is cited in 4 papers

On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces

V. D. Stepanov^ab, G. E. Shambilova^c

^a Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk, 680000 Russia
^b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
^c Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia

Abstract: We characterize a two-dimensional bilinear inequality with rectangular Hardy operators in weighted norms of Lebesgue spaces.

UDC: 517.51

Received: May 24, 2020
Revised: September 6, 2020
Accepted: September 16, 2020

DOI: 10.4213/tm4138

English version: Proceedings of the Steklov Institute of Mathematics, 2021, 312, 241–248

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