Products of Functions in Hardy and Lipschitz or Bmo Spaces

Details Products of Functions in Hardy and Lipschitz or Bmo Spaces Products of Functions in Hardy and Lipschitz or Bmo Spaces

2008-06-30

arxiv.org/abs/0806.4857v2

Mathematics

Classical Analysis and ODEs

15 pages, we have changed some statement, gave a new definition and modified the proof of theorem 1.1

Scientific paper

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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