Boundedness of Quasilinear Integral Operators of Iterated Type with Oinarov’s Kernel on the Cone of Monotone Functions

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

RUDN University, Moscow, Russia

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

Received 15 March, 2017

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

DOI: 10.1134/S1064562417040056