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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991, Russia

    V. D. Stepanov

  2. RUDN University, Moscow, 117198, Russia

    G. É. Shambilova

Authors
  1. V. D. Stepanov
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  2. G. É. Shambilova
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Correspondence to V. D. Stepanov.

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Dedicated to the blessedmemory of Nikolai Karapetovich Karapetyants

Original Russian Text © V. D. Stepanov, G. ´E. Shambilova, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 3, pp. 454–466.

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Stepanov, V.D., Shambilova, G.É. Iterated Integral Operators on the Cone of Monotone Functions. Math Notes 104, 443–453 (2018). https://doi.org/10.1134/S0001434618090122

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