Toeplitz Operators on the Dirichlet Space of 𝔹n
We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. 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....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/958201 |
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| Summary: | We study the algebraic properties of Toeplitz operators on the Dirichlet
space of the unit ball 𝔹n. 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 zpz¯qϕ(|z|2) is studied. |
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| ISSN: | 1085-3375 1687-0409 |