V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 5,Pages <nobr>1131

This article is cited in 7 papers

Boundedness of quasilinear integral operators on the cone of monotone functions

V. D. Stepanov^ab, G. E. Shambilova^c

^a Peoples' Friendship University of Russia, Moscow, Russia
^b Steklov Institute of Mathematics, Moscow, Russia
^c Financial University Under the Government of the Russian Federation, Moscow, Russia

Abstract: We study the problem of characterizing weighted inequalities on Lebesgue cones of monotone functions on the half-axis for one class of quasilinear integral operators.

Keywords: Hardy inequality, weighted Lebesgue space, quasilinear integral operator.

UDC: 517.51

Received: 16.02.2016
Revised: 16.06.2016

DOI: 10.17377/smzh.2016.57.519