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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2011; 48(1): 141-149

Printed January 1, 2011

https://doi.org/10.4134/BKMS.2011.48.1.141

Copyright © The Korean Mathematical Society.

Some Toeplitz operators on weighted Bergman spaces

Si Ho Kang

Sookmyung Women's University

Abstract

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We consider the problem to determine when a Toeplitz operator is bounded on weighted Bergman spaces. We show that Toeplitz operators induced by elements of some set are bounded and each element of the set is related with a Carleson measure on the weighted Bergman space.

Keywords: weighted Bergman spaces, Toeplitz operators, Berezin transforms, integral operators

MSC numbers: 47A15 and 47B35

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