Boundedness of a class of rough maximal functions

被引：16
|
作者：
Ali, Mohammed [1 ]
Al-mohammed, Omar [1 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid, Jordan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
Maximal functions; Lp boundedness; Rough kernels; Surfaces of revolution; Extrapolation; SINGULAR-INTEGRALS; MARCINKIEWICZ INTEGRALS; CONVOLUTION-OPERATORS; KERNELS;
D O I：
10.1186/s13660-018-1900-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in Lq( Sn- 1), q > 1. By using these bounds and using an extrapolation argument, we establish the Lp boundedness of the maximal operators when their kernels are in L( log L) a( Sn- 1) or in the block space B0, a- 1 q ( Sn- 1). Our main results represent significant improvements as well as natural extensions of what was known previously.
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收藏
页数：12
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