In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2011 ( 2011), p. 1-15
Abstract:
We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space b μ 2 ( B n ) is an isometric isomorphism between b μ 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 γ a , μ I . Meanwhile, the Wick function of a Toeplitz operator with radial symbol gives complete information about the operator, providing its spectral decomposition.
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2011
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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