Lp BOUNDS FOR SINGULAR INTEGRAL OPERATORS ALONG TWISTED SURFACES

被引：0

作者：

Al-Azri, Badriya ^{[1
]}

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：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 01期

关键词：

Singular integral operators; product domains; twisted surfaces; Lp estimates; maximal functions; convex functions; MAXIMAL FUNCTIONS;

D O I：

10.7153/jmi-2024-18-09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the study singular integrals along twisted surfaces of the form {(Phi(|v|)u,Psi(|u|)v) : (u,v) is an element of R-n xR(m)}. We prove L-p bounds for the corresponding operators when the surfaces are defined by mappings more general than polynomials and convex functions, provided that the kernels are in L(logL)(2)(Sn-1 xS(m-1)) .

引用

页码：143 / 169

页数：27

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