Products of Functions in Hardy and Lipschitz or Bmo Spaces
Classical Analysis and ODEs
2009-03-09 v2
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.
Keywords
Cite
@article{arxiv.0806.4857,
title = {Products of Functions in Hardy and Lipschitz or Bmo Spaces},
author = {Aline Bonami and Justin Feuto},
journal= {arXiv preprint arXiv:0806.4857},
year = {2009}
}
Comments
15 pages, we have changed some statement, gave a new definition and modified the proof of theorem 1.1