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Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
oleh: Zhi Ling Sun, Yu Feng Lu
Format: | Article |
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Diterbitkan: | Wiley 2011-01-01 |
Deskripsi
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.