New abstract Hardy spaces

被引：47
|
作者：
Bernicot, Frederic [2 ,3 ]
Zhao, Jiman [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
[2] Univ Paris 11, F-91405 Orsay, France
[3] CNRS 8628, F-91405 Orsay, France
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 07期
关键词：
Hardy spaces; atomic and molecular decomposition; interpolation;
D O I：
10.1016/j.jfa.2008.06.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H-1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L-1 and some results about interpolation between these spaces and the Lebesgue spaces. We also obtain some results on weighted norm inequalities. Finally we present partial results in order to understand a characterization of the duals of Hardy spaces. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：1761 / 1796
页数：36
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