Singular Integral Operators Supported in Higher Dimensional Surfaces

被引：0

作者：

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

机构：

[1] Sultan Qaboos Univ, Coll Sci, Dept Math, Al Seeb, Oman

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

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 05期

关键词：

Singular integral operators; rough kernels; L-p estimates; singular Radon transforms; Fourier transform; maximal functions; ROUGH KERNELS;

D O I：

10.1007/s00009-023-02476-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the composition of singular integral operators, we introduce a class of singular integral operators in the Euclidean space R-n with kernels supported in surfaces in R-n x R-n. The surfaces are allowed to be very flat at the origin in R-n x R-n. The boundedness of the operators on L-p is proved under the assumption that the kernels are rough in L(log L)(2) (Sn-1 x Sn-1).

引用

页数：14

共 16 条

[1]

Al-Qassem H., 2002, Hokkaido Math. J, V31, P555

[2]

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

[3] Singular integrals with rough kernels in L log L(Sn-1) [J].