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math.FA2010
Abstract framework for John Nirenberg inequalities and applications to Hardy spaces
Frederic Bernicot, Jiman Zhao
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 introdu…
math.FA2007
New Abstract Hardy Spaces
Frederic Bernicot, Jiman Zhao
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic…