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Boundedness of Hankel operators on H1(Bn)

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00460906
Contributor : Sandrine Grellier <>
Submitted on : Tuesday, March 2, 2010 - 6:09:30 PM
Last modification on : Friday, December 14, 2018 - 8:20:02 AM

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  • HAL Id : hal-00460906, version 1

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Sandrine Grellier, B. Sehba, Aline Bonami. Boundedness of Hankel operators on H1(Bn). Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2007, 344, pp.749-752. ⟨hal-00460906⟩

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