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Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-01-01

Journal: ABSTRACT AND APPLIED ANALYSIS

Included Journals: SCIE、Scopus

Volume: 2011

ISSN: 1085-3375

Abstract: We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space b(mu)(2)(B(n)) is an isometric isomorphism between b(mu)(2)(B(n)) and l(2)(#). Furthermore, using the operator R we prove that each Toeplitz operator T(a) with radial symbols is unitary to the multication operator gamma(a,mu)I. 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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