Hankel operators on Bergman spaces of tube domains over symmetric cones

Benoit Florent Sehba

doi:10.1007/s00020-008-1620-7

Hankel operators on Bergman spaces of tube domains over symmetric cones

Benoit Florent Sehba

University of Glasgow

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

12 Citations (Scopus)

Abstract

We present here some criteria for Schatten-Von Neumann class membership for the small Hankel operator on Bergman space A²(T_Ω), when T_Ω is the tube over the symmetric cone Ω.

Original language	English
Pages (from-to)	233-245
Number of pages	13
Journal	Integral Equations and Operator Theory
Volume	62
Issue number	2
DOIs	https://doi.org/10.1007/s00020-008-1620-7
Publication status	Published - Oct 2008
Externally published	Yes

Keywords

Bergman space
Besov space
Hankel operator
Schatten class

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10.1007/s00020-008-1620-7

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title = "Hankel operators on Bergman spaces of tube domains over symmetric cones",

abstract = "We present here some criteria for Schatten-Von Neumann class membership for the small Hankel operator on Bergman space A2(TΩ), when TΩ is the tube over the symmetric cone Ω.",

keywords = "Bergman space, Besov space, Hankel operator, Schatten class",

author = "Sehba, {Benoit Florent}",

year = "2008",

month = oct,

doi = "10.1007/s00020-008-1620-7",

language = "English",

volume = "62",

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AB - We present here some criteria for Schatten-Von Neumann class membership for the small Hankel operator on Bergman space A2(TΩ), when TΩ is the tube over the symmetric cone Ω.

KW - Bergman space

KW - Besov space

KW - Hankel operator

KW - Schatten class

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DO - 10.1007/s00020-008-1620-7

M3 - Article

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SN - 0378-620X

VL - 62

SP - 233

EP - 245

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

ER -

Hankel operators on Bergman spaces of tube domains over symmetric cones

Abstract

Keywords

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