Commutators of Cauchy-Fantappie Type Integrals on Generalized Morrey Spaces on Complex Ellipsoids

被引:2
|
作者
Dao, Nguyen Anh [1 ]
Duong, Xuan Thinh [2 ]
Ha, Ly Kim [3 ,4 ]
机构
[1] ShanghaiTech Univ, Inst Math Sci, Shanghai, Peoples R China
[2] Macquarie Univ, Dept Math, N Ryde, NSW 2109, Australia
[3] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam
[4] Vietnam Natl Univ Ho Chi Minh City VNU HCM, Ho Chi Minh City, Vietnam
基金
澳大利亚研究理事会;
关键词
BMO; VMO; Commutators; Singular integral operators; Convex domains of finite type; HARDY-SPACES; SINGULAR-INTEGRALS; HOMOGENEOUS TYPE; COMPACTNESS; OPERATORS; BERGMAN; BOUNDEDNESS; PROJECTION; KERNEL;
D O I
10.1007/s12220-020-00561-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let Omega be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in C-n, let d lambda be the Monge-Ampere boundary measure on b Omega and rho >= 0 be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy-Fantappie type integrals with L-1(b Omega, d lambda) functions on the generalized Morrey spaces L-rho(p)(b Omega, d lambda), with p is an element of(1, infinity).
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页码:7538 / 7567
页数:30
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