This article is cited in 9 papers

Two-Weight Inequalities for Convolution Operators in Lebesgue Space

R. A. Bandaliev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

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.

Keywords: convolution operator, Lebesgue space, two-weight inequality, Euclidean space, singular integral.

UDC: 517.518

Received: 12.03.2004

DOI: 10.4213/mzm2773

 English version: Mathematical Notes, 2006, 80:1, 3–10

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