Parabolic Marcinkiewicz integrals on product spaces and extrapolation

被引：5
|
作者：
Ali, Mohammed [1 ]
Al-Dolat, Mohammed [1 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid, Jordan
来源：
OPEN MATHEMATICS | 2016年 / 14卷
关键词：
L-p boundedness; Parabolic Marcinkiewicz integrals; Rough kernels; Product spaces; SINGULAR-INTEGRALS;
D O I：
10.1515/math-2016-0061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the the parabolic Marcinkiewicz integral M-Omega,h(rho 1,rho 2) on product domains R-n x R-m (n; m >= 2). L-p estimates of such operators are obtained under weak conditions on the kernels. These estimates allow us to use an extrapolation argument to obtain some new and improved results on parabolic Marcinkiewicz integral operators.
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页码：649 / 660
页数：12
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