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Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
Author(s) -
Zhi Sun,
Yu Lu
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/210596
Subject(s) - algorithm , artificial intelligence , computer science
We construct an operator R whose restriction onto weighted pluriharmonic Bergman Spacebμ2(Bn) is an isometric isomorphism between bμ2(Bn) and l2#. Furthermore, using the operator R we provethat 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 aboutthe operator, providing its spectral decomposition

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