Singular integral operators on product domains along twisted surfaces

被引：6

作者：

Al-Salman, Ahmad ^{[1
,2
]}

机构：

[1] Sultan Qaboos Univ, Dept Math, Sultanate, Oman

[2] Yarmouk Univ, Dept Math, Irbid, Jordan

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2021年 / 16卷 / 01期

关键词：

Singular integral operators on product domains; rough kernels; L-p estimates; Hardy Littlewood maximal function; truncated maximal singular integrals; twisted surfaces; block spaces;

D O I：

10.1007/s11464-021-0911-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a class of singular integral operators on product domains along twisted surfaces. We prove that the operators are bounded on L-p provided that the kernels satisfy weak conditions.

引用

页码：13 / 28

页数：16

共 11 条

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[2]

Al-Qassem H., 2002, Hokkaido Math. J, V31, P555, DOI 10.14492/hokmj/1350911903

[3]

Al-Salman A, 2006, INDIANA U MATH J, V55, P369

[4]

[Anonymous], 1993, HARMONIC ANAL REAL V