Boundedness of quasilinear integral operators on the cone of monotone functions


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Abstract

We study the problem of characterizing weighted inequalities on Lebesgue cones of monotone functions on the half-axis for one class of quasilinear integral operators.

About the authors

V. D. Stepanov

Peoples’ Friendship University of Russia Steklov Institute of Mathematics

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

G. E. Shambilova

Financial University Under the Government of the Russian Federation

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


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