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Products of Functions in Hardy and Lipschitz or BMO Spaces

  • Aline Bonami
  • Justin Feuto
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Summary

We define as a distribution the product of a function (or distribution) h in some Hardy space \(\mathcal{H}^p\) with a function b in the dual space of \(\mathcal{H}^p\). Moreover, we prove that the product b × h 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 \(\mathcal{H}^p\), depending on the values of p.

Keywords

Hardy Space Toeplitz Operator Orlicz Space Homogeneous Type Atomic Decomposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.MAPMO-UMR 6628, Département de MathématiquesUniversitéd’OrleansOrléans Cedex 2France
  2. 2.Laboratoire de Mathématiques Fondamentales, UFR Mathématiques et InformatiqueUniversité de CocodyCôte d’IvoireUSA

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