Harmonic Analysis
Use of Hardy spaces and interpolation
Comptes Rendus. Mathématique, Volume 346 (2008) no. 13-14, pp. 745-748.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.05.009
Bernicot, Frédéric 1

1 Université Paris-Sud, Orsay et CNRS 8628, 91405 Orsay cedex, France
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Bernicot, Frédéric. 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. http://www.numdam.org/articles/10.1016/j.crma.2008.05.009/

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