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

作者：Bernicot, Frederic^*; Zhao, Jiman

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2012, 11(3): 475-501.

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 [6], 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.

• 出版日期2012
• 单位北京师范大学