V. D. Stepanov, G. È. Shambilova, “Iterated Integral Operators on the Cone of Monotone Functions”, Mat. Zametki, 2018, Volume 104, Issue 3,Pages <nobr>454

This article is cited in 3 papers

Iterated Integral Operators on the Cone of Monotone Functions

V. D. Stepanov^a, G. È. Shambilova^b

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

Abstract: Criteria for the boundedness of sublinear integral two-kernel operators of iterated type on cones of monotone functions in Lebesgue spaces on the real semiaxis are given.

Keywords: Hardy-type inequality, weighted Lebesgue space, sublinear integral operator.

UDC: 517.98

Received: 28.11.2017

DOI: 10.4213/mzm12117