G. E. Shambilova, “The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 4,Pages <nobr>912

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The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions

G. E. Shambilova

Peoples' Friendship University of Russia, Moscow, Russia

Abstract: We study the problem of characterizing the weighted inequalities on the Lebesgue cones of monotone functions on the semiaxis for a class of quasilinear integral operators.

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

UDC: 517.51

Received: 30.09.2013