Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones

Cyrille Nana; Benoît Florent Sehba

doi:10.1007/s00020-014-2210-5

Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones

Cyrille Nana, Benoît Florent Sehba

Department of Mathematics

University of Buea

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

16 Citations (Scopus)

Abstract

We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Cesàro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Cesàro-type operators on weighted Hilbert-Bergman spaces.

Original language	English
Pages (from-to)	151-178
Number of pages	28
Journal	Integral Equations and Operator Theory
Volume	83
Issue number	2
DOIs	https://doi.org/10.1007/s00020-014-2210-5
Publication status	Published - 1 Oct 2015

Keywords

32A38
32M15
Primary 32A10
Secondary 47B32

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10.1007/s00020-014-2210-5

Cite this

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title = "Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones",

abstract = "We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Ces{\`a}ro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Ces{\`a}ro-type operators on weighted Hilbert-Bergman spaces.",

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AU - Nana, Cyrille

AU - Sehba, Benoît Florent

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Cesàro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Cesàro-type operators on weighted Hilbert-Bergman spaces.

AB - We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Cesàro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Cesàro-type operators on weighted Hilbert-Bergman spaces.

KW - 32A38

KW - 32M15

KW - Primary 32A10

KW - Secondary 47B32

UR - https://www.scopus.com/pages/publications/84947865782

U2 - 10.1007/s00020-014-2210-5

DO - 10.1007/s00020-014-2210-5

M3 - Article

AN - SCOPUS:84947865782

SN - 0378-620X

VL - 83

SP - 151

EP - 178

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

ER -

Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones

Abstract

Keywords

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