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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 60–63
DOI: https://doi.org/10.31857/S2686954320050434 (Mi danma7) 		 
MATHEMATICS

Bilinear weighted inequalities with two-dimensional operators

V. D. Stepanova, G. È. Shambilovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
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DOI: https://doi.org/10.31857/S2686954320050434
Abstract: A characterization of bilinear inequalities with two-dimensional rectangular Hardy operators in weighted Lebesgue spaces is given.
Keywords: weighted Lebesgue space, two-dimensional Hardy operator, bilinear inequality.
Funding agency Grant number
Russian Science Foundation 19–11–00087
Russian Foundation for Basic Research 19–01–00223
The study of the first author (Theorems 1 and 2) was supported by the Russian Science Foundation, project no. 19-11-00087, and was performed at Steklov Mathematical Institute of the Russian Academy of Sciences. The study of the second author (Theorem 3) was supported by the Russian Foundation for Basic Research, project no. 19-01-00223.
Received: 27.07.2020
Revised: 27.07.2020
Accepted: 20.08.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 406–408
DOI: https://doi.org/10.1134/S1064562420050415
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.98
Language: Russian
Citation: V. D. Stepanov, G. È. Shambilova, “Bilinear weighted inequalities with two-dimensional operators”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 60–63; Dokl. Math., 102:2 (2020), 406–408
Citation in format AMSBIB
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