Abstract framework for John Nirenberg inequalities and applications to Hardy spaces

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

2010-03-02

arxiv.org/abs/1003.0591v1

Mathematics

Functional Analysis

22 pages

Scientific paper

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 [5], 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.

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