Products of Functions in Hardy and Lipschitz or Bmo Spaces

2008/06/30 by Bonami, Aline, Feuto, Justin
#42B30 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.0806.4857

Abstract

We define as a distribution the product of a function (or distribution) h in some Hardy space Hp with a function b in the dual space of Hp. Moreover, we prove that the product bxh may be written as the sum of an integrable function with a distribution that belongs to some Hardy-Orlicz space, or to the same Hardy space Hp, depending on the values of p.

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