Bergman-type operators in tubular domains over symmetric cones

Benoit F. Sehba

doi:10.1017/S0013091506001593

Bergman-type operators in tubular domains over symmetric cones

Benoit F. Sehba

Department of Mathematics

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

25 Citations (Scopus)

Abstract

We study the boundedness properties of RudinForelli-type operators associated to tubular domains over symmetric cones. As an application, we give a characterization of the topological dual space of the weighted Bergman space A^p,q_v.

Original language	English
Pages (from-to)	529-544
Number of pages	16
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	52
Issue number	2
DOIs	https://doi.org/10.1017/S0013091506001593
Publication status	Published - Jun 2009

Keywords

Bergman kernel
Bergman space
Symmetrical cone
Tube domain 2000 Mathematics subject classification: Primary 42B35 Secondary 32M15

Access to Document

10.1017/S0013091506001593

Cite this

@article{081b61ddc43442eaaa4e02158caf137c,

title = "Bergman-type operators in tubular domains over symmetric cones",

abstract = "We study the boundedness properties of RudinForelli-type operators associated to tubular domains over symmetric cones. As an application, we give a characterization of the topological dual space of the weighted Bergman space Ap,qv.",

keywords = "Bergman kernel, Bergman space, Symmetrical cone, Tube domain 2000 Mathematics subject classification: Primary 42B35 Secondary 32M15",

author = "Sehba, \{Benoit F.\}",

year = "2009",

month = jun,

doi = "10.1017/S0013091506001593",

language = "English",

volume = "52",

pages = "529--544",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "0013-0915",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Bergman-type operators in tubular domains over symmetric cones

AU - Sehba, Benoit F.

PY - 2009/6

Y1 - 2009/6

N2 - We study the boundedness properties of RudinForelli-type operators associated to tubular domains over symmetric cones. As an application, we give a characterization of the topological dual space of the weighted Bergman space Ap,qv.

AB - We study the boundedness properties of RudinForelli-type operators associated to tubular domains over symmetric cones. As an application, we give a characterization of the topological dual space of the weighted Bergman space Ap,qv.

KW - Bergman kernel

KW - Bergman space

KW - Symmetrical cone

KW - Tube domain 2000 Mathematics subject classification: Primary 42B35 Secondary 32M15

UR - https://www.scopus.com/pages/publications/68349152701

U2 - 10.1017/S0013091506001593

DO - 10.1017/S0013091506001593

M3 - Article

AN - SCOPUS:68349152701

SN - 0013-0915

VL - 52

SP - 529

EP - 544

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 2

ER -

Bergman-type operators in tubular domains over symmetric cones

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this