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2012 Toeplitz Operators on the Dirichlet Space of 𝔹 n
HongZhao Lin, YuFeng Lu
Abstr. Appl. Anal. 2012: 1-21 (2012). DOI: 10.1155/2012/958201

Abstract

We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹 n . We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric. We also obtain descriptions of conjugate holomorphic symbols of commuting Toeplitz operators. Finally, the commuting problem of Toeplitz operators whose symbols are of the form z p z ¯ q ϕ ( | z | 2 ) is studied.

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HongZhao Lin. YuFeng Lu. "Toeplitz Operators on the Dirichlet Space of 𝔹 n ." Abstr. Appl. Anal. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/958201

Information

Published: 2012
First available in Project Euclid: 28 March 2013

MathSciNet: MR2999882
Digital Object Identifier: 10.1155/2012/958201

Rights: Copyright © 2012 Hindawi

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