Boundedness of a Class of Quasilinear Operators on the Cone of Monotone Functions

Corresponding Member of the RAS V. D. Stepanov* and G. E. Shambilova
Translated by I. Ruzanova

Peoples’ Friendship University of Russia, Moscow, 117198 Russia

Correspondence to: *e-mail: stepanov@mi.ras.ru

Received 12 August, 2016

Abstract—Necessary and sufficient conditions for the weighted boundedness of a class of positive quasilinear integral two-kernel operators of iterative type on the real half-line are given.

DOI: 10.1134/S1064562416060302