descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 04 Sep 2009Embargo end date: 01 Jan 2008 English Publisher:Birkhäuser Boston

Authors: Justin Feuto; Aline Bonami;

doi: 10.1007/978-0-8176-4588-5_4 , 10.48550/arxiv.0806.4857

arXiv: http://arxiv.org/abs/0806.4857

Products of Functions in Hardy and Lipschitz or BMO Spaces

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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.

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

Related Organizations

University of Orléans
France
Université Félix Houphouët-Boigny
Cote d'Ivoire

Keywords

42B30;42B35, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 42B30, 42B35

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