Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces

被引：51
|
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.
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页码：1631 / 1651
页数：21
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