V. D. Stepanov, G. E. Shambilova, “Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions”, Sibirsk. Mat. Zh., 2018, Volume 59, Number 3,Pages <nobr>639

This article is cited in 9 papers

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

V. D. Stepanov^a, G. E. Shambilova^b

^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