Boundedness of a class of quasilinear operators on the cone of monotone functions


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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.

About the authors

V. D. Stepanov

Peoples’ Friendship University of Russia

Author for correspondence.
Email: stepanov@mi.ras.ru
Russian Federation, Moscow, 117198

G. E. Shambilova

Peoples’ Friendship University of Russia

Email: stepanov@mi.ras.ru
Russian Federation, Moscow, 117198


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