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

• Frédéric Bernicot ^[1] ; Jiman Zhao ^[2]
  1. [1] University of Nantes

     University of Nantes

     Arrondissement de Nantes, Francia

     
  2. [2] Beijing Normal University

     Beijing Normal University

     China

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 11, Nº 3, 2012, págs. 475-501
• Idioma: inglés
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• Resumen

  • 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.