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Two-Weighted Inequalities for Singular Integrals

Published online by Cambridge University Press:  20 November 2018

David E. Edmunds  and
Vakhtang M. Kokilashvili
David E. Edmunds
Affiliation:
Centre for Mathematical Analysis and its Applications, University of Sussex, Brighton BN1 9QH, Sussex, United Kingdom
Vakhtang M. Kokilashvili
Affiliation:
A. M. Razmadze Mathematical Institute, Rukhadze Str. 1, 380093 Tbilisi, Republic of Georgia
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Abstract

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We consider operators T of the form Tf = {Tjfj}, where Tjfj(x) = (p. v) ∫Rn kj(x — y)fj(y) dy. Under appropriate conditions on the kj, two-weighted estimates for T are obtained, the weights being radial and suitably linked.

Keywords

47B3826D10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 295 - 303
Copyright
Copyright © Canadian Mathematical Society 1995

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