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BEREZIN TRANSFORMS AND TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES OF THE HALF-PLANE
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 Title & Authors
BEREZIN TRANSFORMS AND TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES OF THE HALF-PLANE
Kang, Si-Ho;
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 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 Mobius invariant.
 Keywords
Bergman spaces;half-plane;Toeplitz operators;Berezin transforms;integral operators;
 Language
English
 Cited by
1.
Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane, Applied Mathematics and Computation, 2010, 217, 7, 3379  crossref(new windwow)
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H. Hedenmalm, B. Korenblum, and K. Zhu, Theory of Bergman Spaces, (English summary) Graduate Texts in Mathematics, 199. Springer-Verlag, New York, 2000

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J. Y. Kim, Weighted Analytic Bergman Spaces of the Half Plane and their Toeplitz Operators, Ph. D. Thesis, Sookmyung Women's University, 2001

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