Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2007; 44(2): 281-290

Printed June 1, 2007

Copyright © The Korean Mathematical Society.

Berezin transforms and Toeplitz operators on the weighted Bergman spaces of the half-plane

Si Ho Kang

Sookmyung Women's University

Abstract

We deal with Bergman functions defined on the half-plane. We study integral operators, and some relationship between Berezin transforms and Toeplitz operators, and also show that some Berezin transforms are M${\mathrm{\ddot{o}}}$bius invariant.

Keywords: Bergman spaces, half-plane, Toeplitz operators, Berezin transforms, integral operators

MSC numbers: 47A15, 47B35