BOUNDEDNESS OF MULTILINEAR COMMUTATORS OF CALDERON-ZYGMUND OPERATORS ON ORLICZ SPACES OVER NON-HOMOGENEOUS SPACES

被引：46

作者：

Fu, Xing ^{[1
]}

Yang, Dachun ^{[1
]}

Yuan, Wen ^{[1
]}

机构：

[1] Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Multilinear commutator; Calderon-Zygmund operator; Non-homogeneous space; Orlicz space; HARDY-SPACES; ANALYTIC CAPACITY; H-1; SEMIADDITIVITY; THEOREM;

D O I：

10.11650/twjm/1500406848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, d, mu) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions. In this paper, the authors prove that multilinear commutators of Calderon-Zygmund operators with RBMO(mu) functions are bounded on Orlicz spaces, especially, on L-p(mu) with p is an element of (1, infinity). The weak type endpoint estimate of multilinear commutators of Calderon-Zygmund operators with Orlicz type functions in Osc(exp Lr) (mu) for r is an element of [1, infinity) is also presented.

引用

页码：2203 / 2238

页数：36

共 28 条

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[Anonymous], 1971, Lecture Notes in Mathematics

[2]

Birnbaum Z., 1931, STUD MATH, V3, P1, DOI DOI 10.4064/SM-3-1-1-67

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