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Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols

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  • Zhi Ling Sun
  • Yu Feng Lu

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.

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Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:210596
DOI: 10.1155/2011/210596
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