Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones

Benoît F. Sehba

doi:10.1186/s40627-018-0014-0

Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones

Benoît F. Sehba

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We prove some characterizations of Schatten class of Toeplitz operators on Bergman spaces of tube domains over symmetric cones for small exponents. Our results are applied to obtain Schatten class characterization of some Cesàro-type operators.

Original language	English
Article number	3
Journal	Complex Analysis and its Synergies
Volume	4
Issue number	1
DOIs	https://doi.org/10.1186/s40627-018-0014-0
Publication status	Published - Dec 2018

Keywords

Bergman space
Besov space
Cesàro-type operator
Schatten class
Symmetric cone
Toeplitz operator

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10.1186/s40627-018-0014-0

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title = "Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones",

abstract = "We prove some characterizations of Schatten class of Toeplitz operators on Bergman spaces of tube domains over symmetric cones for small exponents. Our results are applied to obtain Schatten class characterization of some Ces{\`a}ro-type operators.",

keywords = "Bergman space, Besov space, Ces{\`a}ro-type operator, Schatten class, Symmetric cone, Toeplitz operator",

author = "Sehba, {Beno{\^i}t F.}",

note = "Publisher Copyright: {\textcopyright} 2018, The Author(s).",

year = "2018",

month = dec,

doi = "10.1186/s40627-018-0014-0",

language = "English",

volume = "4",

journal = "Complex Analysis and its Synergies",

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AU - Sehba, Benoît F.

PY - 2018/12

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N2 - We prove some characterizations of Schatten class of Toeplitz operators on Bergman spaces of tube domains over symmetric cones for small exponents. Our results are applied to obtain Schatten class characterization of some Cesàro-type operators.

AB - We prove some characterizations of Schatten class of Toeplitz operators on Bergman spaces of tube domains over symmetric cones for small exponents. Our results are applied to obtain Schatten class characterization of some Cesàro-type operators.

KW - Bergman space

KW - Besov space

KW - Cesàro-type operator

KW - Schatten class

KW - Symmetric cone

KW - Toeplitz operator

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U2 - 10.1186/s40627-018-0014-0

DO - 10.1186/s40627-018-0014-0

M3 - Article

AN - SCOPUS:85132114769

SN - 2524-7581

VL - 4

JO - Complex Analysis and its Synergies

JF - Complex Analysis and its Synergies

IS - 1

M1 - 3

ER -

Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones

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