Open Access
June 2012 Positive Toeplitz operators on the Bergman space of a minimal bounded homogeneous domain
Satoshi YAMAJI
Hokkaido Math. J. 41(2): 257-274 (June 2012). DOI: 10.14492/hokmj/1340714415

Abstract

Necessary and sufficient conditions for positive Toeplitz operators on the Bergman space of a minimal bounded homogeneous domain to be bounded or compact are described in terms of the Berezin transform, the averaging function and the Carleson property

Citation

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Satoshi YAMAJI. "Positive Toeplitz operators on the Bergman space of a minimal bounded homogeneous domain." Hokkaido Math. J. 41 (2) 257 - 274, June 2012. https://doi.org/10.14492/hokmj/1340714415

Information

Published: June 2012
First available in Project Euclid: 26 June 2012

zbMATH: 1248.47032
MathSciNet: MR2977047
Digital Object Identifier: 10.14492/hokmj/1340714415

Subjects:
Primary: 47B35
Secondary: 32A25

Keywords: Bergman space , bounded homogeneous domain , Carleson measure , minimal domain , Toeplitz operator

Rights: Copyright © 2012 Hokkaido University, Department of Mathematics

Vol.41 • No. 2 • June 2012
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