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Journal of Function Spaces and Applications
Volume 7, Issue 1, Pages 43-59
http://dx.doi.org/10.1155/2009/164029

Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition

Department of Mathematical Analysis, Baku State University, Institute of Mathematics and Mechanics, Baku, Azerbaijan

Received 1 January 2008

Academic Editor: Vakhtang Kokilashvili

Copyright © 2009 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander's condition, in the weighted Lebesgue spaces Lp,ω (ℝn).