The Berezin transform and operators on spaces of analytic functions

Karel Stroethoff

Displaying similar documents to “The Berezin transform and operators on spaces of analytic functions”

The Berezin transform on the Toeplitz algebra

Sheldon Axler, Dechao Zheng (1998)

Studia Mathematica

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This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the analytic Toeplitz operators on the Bergman space.

A note on Toeplitz operators on Bergman spaces

Miroslav Engliš (1988)

Commentationes Mathematicae Universitatis Carolinae

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Generalizations of Hankel operators

Peetre, Jaak

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Commuting Toeplitz operators on the pluriharmonic Bergman space

Young Joo Lee (2004)

Czechoslovak Mathematical Journal

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We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.

On Pták’s generalization of Hankel operators

Carmen H. Mancera, Pedro José Paúl (2001)

Czechoslovak Mathematical Journal

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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions $T_{1} \in ℬ (ℋ_{1})$ and $T_{2} \in ℬ (ℋ_{2})$ , an operator $X ℋ_{1} \to ℋ_{2}$ is said to be a generalized Hankel operator if $T_{2} X = X T_{1}^{*}$ and $X$ satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of $T_{1}$ and $T_{2}$ . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...

Quasinormality and numerical ranges of certain classes of dual Toeplitz operators.

Guediri, Hocine (2010)

Abstract and Applied Analysis

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