Boundedness of Hankel operators on H1 (Bn)

Aline Bonami; Sandrine Grellier; Benoît F. Sehba

doi:10.1016/j.crma.2007.05.004

Boundedness of Hankel operators on H¹ (Bⁿ)

Aline Bonami, Sandrine Grellier, Benoît F. Sehba

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We prove that the Hankel operator h_b 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. To cite this article: A. Bonami et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

Original language	English
Pages (from-to)	749-752
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	344
Issue number	12
DOIs	https://doi.org/10.1016/j.crma.2007.05.004
Publication status	Published - 15 Jun 2007
Externally published	Yes

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10.1016/j.crma.2007.05.004

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title = "Boundedness of Hankel operators on H1 (Bn)",

abstract = "We prove that the Hankel operator hb associated to the Szeg{\"o} 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. To cite this article: A. Bonami et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).",

author = "Aline Bonami and Sandrine Grellier and Sehba, {Beno{\^i}t F.}",

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AU - Bonami, Aline

AU - Grellier, Sandrine

AU - Sehba, Benoît F.

PY - 2007/6/15

Y1 - 2007/6/15

N2 - 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. To cite this article: A. Bonami et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

AB - 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. To cite this article: A. Bonami et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

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U2 - 10.1016/j.crma.2007.05.004

DO - 10.1016/j.crma.2007.05.004

M3 - Article

AN - SCOPUS:34447327523

SN - 1631-073X

VL - 344

SP - 749

EP - 752

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 12

ER -

Boundedness of Hankel operators on H¹ (Bⁿ)

Abstract

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