no. 12
Complex Analysis
Boundedness of Hankel operators on H1(Bn)
Presented by: Yves Meyer
Bonami, Aline1; Grellier, Sandrine1; Sehba, Benoît F.2
1Fédération Denis-Poisson, MAPMO-UMR 6628, département de mathématiques, université d'Orléans, 45067 Orléans cedex 2, France
2Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
Comptes Rendus. Mathématique, Volume 344 (2007) no. 12, pp. 749-752

We prove that the Hankel operator hb associated to the Szegö projection on the unit ball Bn is bounded on the Hardy space H1(Bn) if and only if its symbol b has logarithmic mean oscillation on the unit sphere.

On démontre que l'opérateur de Hankel hb associé au projecteur de Szegö sur la boule unité s'étend continûment à l'espace de Hardy H1(Bn) si et seulement si b est à oscillation moyenne logarithmique sur la sphère unité.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.05.004

Bonami, Aline  1 ; Grellier, Sandrine  1 ; Sehba, Benoît F.  2

1 Fédération Denis-Poisson, MAPMO-UMR 6628, département de mathématiques, université d'Orléans, 45067 Orléans cedex 2, France
2 Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK 
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Bonami, Aline; Grellier, Sandrine; Sehba, Benoît F. Boundedness of Hankel operators on $ {\mathcal{H}}^{1}({\mathbb{B}}^{n})$. Comptes Rendus. Mathématique, Volume 344 (2007) no. 12, pp. 749-752. doi: 10.1016/j.crma.2007.05.004

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