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Mathematical Notes

, Volume 80, Issue 1–2, pp 3–10 | Cite as

Two-weight inequalities for convolution operators in Lebesgue space

  • R. A. Bandaliev
Article

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.

Key words

convolution operator Lebesgue space measurable function two-weight inequality singular integral Hölder’s inequality 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • R. A. Bandaliev
    • 1
  1. 1.Institute of Mathematics and Mechanics, National Academy of Sciences of AzerbaijanAzerbaijan

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