Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols

Zhi Ling Sun and Yu Feng Lu

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space bμ2(𝔹n) is an isometric isomorphism between bμ2(𝔹n) and l2#. Furthermore, using the operator R we prove that each Toeplitz operator Ta with radial symbols is unitary to the multication operator γa,μI. Meanwhile, the Wick function of a Toeplitz operator with radial symbol gives complete information about the operator, providing its spectral decomposition.

Date: 2011
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https://doi.org/10.1155/2011/210596

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:210596

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