A Boundedness Criterion via Atoms for Linear Operators in Hardy Spaces

被引：0
|
作者：
Dachun Yang
Yuan Zhou
机构：
[1] Beijing Normal University,School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education
来源：
Constructive Approximation | 2009年 / 29卷
关键词：
Linear operator; Boundedness criterion; Hardy space; Atom; Calderón reproducing formula; Quasi-Banach space; 42B20; 42B30; 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let p∈(0,1] and s≥[n(1/p−1)], where [n(1/p−1)] denotes the maximal integer no more than n(1/p−1). In this paper, the authors prove that a linear operator T extends to a bounded linear operator from the Hardy space Hp(ℝn) to some quasi-Banach space ℬ if and only if T maps all (p,2,s)-atoms into uniformly bounded elements of ℬ.
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页码：207 / 218
页数：11
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