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2012 TWO-WEIGHT NORM INEQUALITIES FOR CERTAIN SINGULAR INTEGRALS
R. A. Bandaliev, K. K. Omarova
Taiwanese J. Math. 16(2): 713-732 (2012). DOI: 10.11650/twjm/1500406611

Abstract

In this paper we prove the boundedness of certain convolution operator in a weighted Lebesgue space with kernel satisfying the generalized Hörmander's condition. The sufficient conditions for the pair of weights ensuring the validity of two-weight inequalities of a strong type and of a weak type for singular integral with kernel satisfying the generalized Hörmander's condition are found.

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R. A. Bandaliev. K. K. Omarova. "TWO-WEIGHT NORM INEQUALITIES FOR CERTAIN SINGULAR INTEGRALS." Taiwanese J. Math. 16 (2) 713 - 732, 2012. https://doi.org/10.11650/twjm/1500406611

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1257.47035
MathSciNet: MR2892908
Digital Object Identifier: 10.11650/twjm/1500406611

Subjects:
Primary: 26D15 , 46B50 , 47B38

Keywords: boundedness , generalized Hörmander's condition , ‎kernel‎ , singular integral , weighted Lebesgue space

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 2 • 2012
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