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Two-weight inequalities for convolution operators in Lebesgue space

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Abstract

In this paper, we prove a theorem on the boundedness of a convolution operator in a weighted Lebesgue space with kernel satisfying a certain version of Hörmander’s condition.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Azerbaijan

    R. A. Bandaliev

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  1. R. A. Bandaliev
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__________

Translated from Matematicheskie Zametki, vol. 80, no. 1, 2006, pp. 3–10.

Original Russian Text Copyright © 2006 by R. A. Bandaliev.

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Bandaliev, R.A. Two-weight inequalities for convolution operators in Lebesgue space. Math Notes 80, 3–10 (2006). https://doi.org/10.1007/s11006-006-0101-z

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  • DOI: https://doi.org/10.1007/s11006-006-0101-z

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