Comptes Rendus
no. 13-14
Harmonic Analysis
Use of Hardy spaces and interpolation
[Utilisation des espaces de Hardy et interpolation]

Présenté par : Yves Meyer

Frédéric Bernicot1
1 Université Paris-Sud, Orsay et CNRS 8628, 91405 Orsay cedex, France
Comptes Rendus. Mathématique, Volume 346 (2008) no. 13-14, pp. 745-748.

Nous présentons une construction abstraite d'espaces de Hardy H1 par une décomposition atomique et nous décrivons l'utilisation de ces espaces avec pour but de les interpoler. Nous donnerons alors des hypothèses les plus faibles pour obtenir un résultat d'interpolation entre ces « nouveaux » espaces de Hardy et les espaces de Lebesgue.

We want to describe an abstract construction of Hardy spaces H1 using an atomic decomposition and then we describe the use of these spaces in a point of view of interpolation. Mainly, we look for weakest assumptions to obtain an interpolation result between these Hardy spaces and Lebesgue spaces.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.05.009
Frédéric Bernicot 1

1 Université Paris-Sud, Orsay et CNRS 8628, 91405 Orsay cedex, France 
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Frédéric Bernicot. Use of Hardy spaces and interpolation. Comptes Rendus. Mathématique, Volume 346 (2008) no. 13-14, pp. 745-748. doi : 10.1016/j.crma.2008.05.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.05.009/

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