Abstract framework for John Nirenberg inequalities and applications to Hardy spaces
نویسندگان
چکیده
framework for John Nirenberg inequalities and applications to Hardy spaces Frédéric Bernicot CNRS Laboratoire Paul Painlevé Université Lille 1 59655 Villeneuve d’Ascq Cedex, France [email protected] Jiman Zhao ∗ School of Mathematical Sciences, Beijing Normal University Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China [email protected] March 1, 2010 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.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. Key-words: BMO spaces ; John-Nirenberg inequalities ; Hardy spaces. MSC: 42B20 ; 46E30.
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