Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces

被引：52

作者：

Tao, Jin ^{[1
]}

Yang, Dachun ^{[1
]}

Yang, Dongyong ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 05期

基金：

中国国家自然科学基金;

关键词：

boundedness; Cauchy integral; compactness; commutator; Morrey space; RIESZ TRANSFORMS; HARDY SPACES; FACTORIZATION; VMO;

D O I：

10.1002/mma.5462

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let C-Gamma be the Cauchy integral operator on a Lipschitz curve Gamma. In this article, the authors show that the commutator [b,C-Gamma] is bounded (resp, compact) on the Morrey space Lp,lambda(R) for any (or some) p is an element of (1,infinity) and lambda is an element of (0,1) if and only if b is an element of BMO(R) (resp, CMO(R)). As an application, a factorization of the classical Hardy space H1(R) in terms of C-Gamma and its adjoint operator is obtained.

引用

页码：1631 / 1651

页数：21

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