Abstract framework for John Nirenberg inequalities and applications to Hardy spaces
Functional Analysis
2010-03-03 v1
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.
Keywords
Cite
@article{arxiv.1003.0591,
title = {Abstract framework for John Nirenberg inequalities and applications to Hardy spaces},
author = {Frederic Bernicot and Jiman Zhao},
journal= {arXiv preprint arXiv:1003.0591},
year = {2010}
}
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22 pages