Iterated Integral Operators on the Cone of Monotone Functions


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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.

About the authors

V. D. Stepanov

Steklov Mathematical Institute

Author for correspondence.
Email: stepanov@mi.ras.ru
Russian Federation, Moscow, 119991

G. É. Shambilova

RUDN University

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

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