Affiliation:
1. Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan
Abstract
Abstract
This paper is concerned with establishing Lp estimates for a class of maximal operators associated to surfaces of revolution with kernels in Lq(Sn−1 × Sm−1), q > 1. These estimates are used in extrapolation to obtain the Lp boundedness of the maximal operators and the related singular integral operators when their kernels are in the L(logL)κ(Sn−1 × Sm−1) or in the block space
$\begin{array}{}
B^{0,\kappa-1}_ q
\end{array}$(Sn−1 × Sm−1). Our results substantially improve and extend some known results.
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