Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones

Cyrille Nana; Benoît F. Sehba

doi:10.1007/s11117-017-0525-6

Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones

Cyrille Nana, Benoît F. Sehba

Department of Mathematics

University of Buea

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

1 Citation (Scopus)

Abstract

We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce off-diagonal boundedness of associated Bergman-type operators in tube domains over symmetric cones.

Original language	English
Pages (from-to)	507-531
Number of pages	25
Journal	Positivity
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/s11117-017-0525-6
Publication status	Published - 1 Apr 2018

Keywords

Bergman projection
Jordan algebra
Symmetric cone

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title = "Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones",

abstract = "We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce off-diagonal boundedness of associated Bergman-type operators in tube domains over symmetric cones.",

keywords = "Bergman projection, Jordan algebra, Symmetric cone",

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

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",

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doi = "10.1007/s11117-017-0525-6",

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T1 - Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones

AU - Nana, Cyrille

AU - Sehba, Benoît F.

PY - 2018/4/1

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N2 - We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce off-diagonal boundedness of associated Bergman-type operators in tube domains over symmetric cones.

AB - We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce off-diagonal boundedness of associated Bergman-type operators in tube domains over symmetric cones.

KW - Bergman projection

KW - Jordan algebra

KW - Symmetric cone

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U2 - 10.1007/s11117-017-0525-6

DO - 10.1007/s11117-017-0525-6

M3 - Article

AN - SCOPUS:85029548440

SN - 1385-1292

VL - 22

SP - 507

EP - 531

JO - Positivity

JF - Positivity

IS - 2

ER -

Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones

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Keywords

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