The Berezin transform and operators on spaces of analytic functions

Tom 38 / 1997

Karel Stroethoff Banach Center Publications 38 (1997), 361-380 DOI: 10.4064/-38-1-361-380

Streszczenie

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

Autorzy

  • Karel Stroethoff

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