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

@article{Bernicot2010AbstractFF, title={Abstract framework for John Nirenberg inequalities and applications to Hardy spaces}, author={Fr{\'e}d{\'e}ric Bernicot and Jiman Zhao}, journal={arXiv: Functional Analysis}, year={2010} }

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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