A reproducing kernel thesis for operators on Bergman-type function spaces

Mishko Mitkovski; Brett D. Wick

doi:10.1016/j.jfa.2014.07.020

A reproducing kernel thesis for operators on Bergman-type function spaces

Mishko Mitkovski
, Brett D. Wick

Department of Mathematics

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

24 Scopus citations

Abstract

In this paper we consider the reproducing kernel thesis for boundedness and compactness for various operators on Bergman-type spaces. In particular, the results in this paper apply to the weighted Bergman space on the unit ball, the unit polydisc and more generally to weighted Fock spaces.

Original language	English
Pages (from-to)	2028-2055
Number of pages	28
Journal	Journal of Functional Analysis
Volume	267
Issue number	7
DOIs	https://doi.org/10.1016/j.jfa.2014.07.020
State	Published - Dec 20 2012

Keywords

Berezin transform
Bergman space
Compact operators
Toeplitz operator

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10.1016/j.jfa.2014.07.020

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title = "A reproducing kernel thesis for operators on Bergman-type function spaces",

abstract = "In this paper we consider the reproducing kernel thesis for boundedness and compactness for various operators on Bergman-type spaces. In particular, the results in this paper apply to the weighted Bergman space on the unit ball, the unit polydisc and more generally to weighted Fock spaces.",

keywords = "Berezin transform, Bergman space, Compact operators, Toeplitz operator",

author = "Mishko Mitkovski and Wick, \{Brett D.\}",

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AU - Wick, Brett D.

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AB - In this paper we consider the reproducing kernel thesis for boundedness and compactness for various operators on Bergman-type spaces. In particular, the results in this paper apply to the weighted Bergman space on the unit ball, the unit polydisc and more generally to weighted Fock spaces.

KW - Berezin transform

KW - Bergman space

KW - Compact operators

KW - Toeplitz operator

UR - https://www.scopus.com/pages/publications/84955203398

U2 - 10.1016/j.jfa.2014.07.020

DO - 10.1016/j.jfa.2014.07.020

M3 - Article

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SP - 2028

EP - 2055

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 7

ER -

A reproducing kernel thesis for operators on Bergman-type function spaces

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Keywords

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