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SINGULAR INTEGRALS WITH ROUGH KERNELS IN $L \log L(S^{n-1})$

Published online by Cambridge University Press:  24 March 2003

AHMAD AL-SALMAN  and
YIBIAO PAN
AHMAD AL-SALMAN
Affiliation:
Department of Mathematics, Yarmouk University, Irbid, Jordanalsalman@yu.edu.jo
YIBIAO PAN
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USAyibiao@pitt.edu
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Abstract

A systematic treatment is given of several classes of singular integrals. Their $L^p$ boundedness is proved when their kernels are given by functions $\Omega$ in $L\log L({\bf S}^{n-1})$ .

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 153 - 174
Copyright
The London Mathematical Society, 2002

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