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

页码：1761 / 1796

页数：36

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