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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive
Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 494, Pages 60–63 (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

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.

UDC: 517.51+517.98

Received: 27.07.2020
Revised: 27.07.2020
Accepted: 20.08.2020

DOI: 10.31857/S2686954320050434


 English version: Doklady Mathematics, 2020, 102:2, 406–408

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© Steklov Math. Inst. of RAS, 2025