Commuting Toeplitz Operators with Harmonic Symbols on $A^2 (\overline{\mathbb{D}}, d\mu)$

Commuting Toeplitz Operators with Harmonic Symbols on $A^2 (\overline{\mathbb{D}}, d\mu)$

Year:    2009

Author:    Chunmei Wang

Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 165–176

Abstract

For any given symmetric measure $µ$ on the closed unit disk $\overline{\mathbb{D}}$, we apply the Berezin transform to characterizing semi-commuting and commuting Toeplitz operators with bounded harmonic symbols on $A^2 (\overline{\mathbb{D}}, d\mu)$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19303

Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 165–176

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    symmetric measure Toeplitz operator Berezin transform.

Author Details

Chunmei Wang