On rough maximal operators and Marcinkiewicz integrals along submanifolds
Volume 190 / 2009
Studia Mathematica 190 (2009), 73-98
MSC: Primary 42B20; Secondary 42B15, 42B25.
DOI: 10.4064/sm190-1-3
Abstract
We investigate the $L^{p}$ boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the $L(\log L)^{\alpha}({\mathbb S} ^{n-1})$ condition on the kernel functions. Our results improve and extend some known results.
