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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2018 Volume 59, Number 3, Pages 639–658 (Mi smj3000)

This article is cited in 10 papers

Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions

V. D. Stepanova, G. E. Shambilovab

a Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
b Peoples' Friendship University of Russia, Moscow, Russia

Abstract: We present the reduction methods for characterizing bilinear weighted inequalities on the Lebesgue cones of nondecreasing functions on a half-axis with integration operators.

Keywords: weighted Lebesgue space, quasilinear integral operator, cone of monotone functions.

UDC: 517.51

MSC: 35R30

Received: 22.08.2017

DOI: 10.17377/smzh.2018.59.313


 English version:
Siberian Mathematical Journal, 2018, 59:3, 505–522

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© Steklov Math. Inst. of RAS, 2025