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arXiv · 1003.0591

Abstract framework for John Nirenberg inequalities and applications to Hardy spaces

Frederic Bernicot·Jiman Zhao
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Abstract

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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Frederic Bernicot, Jiman Zhao. 2010-03-02. Abstract framework for John Nirenberg inequalities and applications to Hardy spaces. https://arxiv.org/abs/1003.0591

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