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.
Si Ho Kang
Sookmyung Women's University
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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