Abstract framework for John-Nirenberg inequalities and applications to Hardy spaces

被引：0

作者：

Bernicot, Frederic ^{[1
]}

Zhao, Jiman ^{[2
]}

机构：

[1] Univ Nantes, CNRS, Lab Jean Leray, F-44322 Nantes, France

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

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2012年 / 11卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop an abstract framework for John-Nirenberg inequalities associated to BMO-type spaces. This work can be seen as the sequel of [6], where the authors introduced a very general framework for atomic and molecular Hardy spaces. Moreover, we show that our assumptions allow us to recover some already known John-Nirenberg inequalities. We give applications to the atomic Hardy spaces too.

引用

页码：475 / 501

页数：27

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