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arXiv · 0806.4857

Products of Functions in Hardy and Lipschitz or Bmo Spaces

Aline Bonami·Justin Feuto
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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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Aline Bonami, Justin Feuto. 2009-03-09. Products of Functions in Hardy and Lipschitz or Bmo Spaces. https://arxiv.org/abs/0806.4857

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