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Title

The Berezin transform and operators on spaces of analytic functions

Authors 1

Affiliations

  1. Department of Mathematical Sciences, University of Montana, Missoula, Montana 59812-1032, U.S.A.

Abstract

In this article we will illustrate how the Berezin transform (or symbol) can be used to study classes of operators on certain spaces of analytic functions, such as the Hardy space, the Bergman space and the Fock space. The article is organized according to the following outline. 1. Spaces of analytic functions 2. Definition and properties Berezin transform 3. Berezin transform and non-compact operators 4. Commutativity of Toeplitz operators 5. Berezin transform and Hankel or Toeplitz operators 6. Sarason's example

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Banach Center Publications
1997/38/1
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Pages:
361-380
Main language of publication
English
Published
1997
Exact and natural sciences