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The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions

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Abstract

We study the problem of characterizing the weighted inequalities on the Lebesgue cones of monotone functions on the semiaxis for a class of quasilinear integral operators.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    G. E. Shambilova

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  1. G. E. Shambilova
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Correspondence to G. E. Shambilova.

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Original Russian Text Copyright © 2014 Shambilova G.E.

The author was supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant 4479.2014.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 4, pp. 912–936, July–August, 2014.

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Shambilova, G.E. The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions. Sib Math J 55, 745–767 (2014). https://doi.org/10.1134/S0037446614040168

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  • DOI: https://doi.org/10.1134/S0037446614040168

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