Journal of Operator Theory

Volume 59, Issue 2, Spring 2008 pp. 263-275.

Rough maximal functions supported by subvarieties

Authors: Ahmad Al-Salman
Author institution: Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123 Muscat, Sultanate of Oman

Summary: In this paper, we establish the $L^p$ boundedness of a class of maximal functions with rough kernels supported by subvarieties. Moreover, several $L^p$ estimates of singular integrals, Marcinkiewicz integrals, and parametric Marcinkiewicz integrals will be studied.

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