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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2020 Volume 61, Number 4, Pages 913–931 (Mi smj6027)
This article is cited in 3 papers

Multidimensional bilinear hardy inequalities

V. D. Stepanova, G. È. Shambilovab

a Computer Centre of Far Eastern Branch RAS, Khabarovsk
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Abstract: We obtain a characterization of the multidimensional bilinear Hardy inequality in weighted Lebesgue spaces.

Keywords: weighted Lebesgue space, Hardy operator, bilinear operator.

UDC: 517.51

MSC: 35R30

Received: 28.01.2020
Revised: 18.03.2020
Accepted: 08.04.2020

DOI: 10.33048/smzh.2020.61.413


 English version: Siberian Mathematical Journal, 2020, 61:4, 725–742

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© Steklov Math. Inst. of RAS, 2024