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COMPACT TOEPLITZ OPERATORSCOMPACT TOEPLITZ OPERATORS

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COMPACT TOEPLITZ OPERATORS
Authors
강시호
Issue Date
Sep-2013
Publisher
호남수학회
Keywords
weighted Bergman spaces; Toeplitz operators; self-adjoint; Hilbert-Schmidt; compact operators
Citation
호남수학학술지, v.35, no.3, pp 343 - 350
Pages
8
Journal Title
호남수학학술지
Volume
35
Number
3
Start Page
343
End Page
350
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/11534
DOI
10.5831/HMJ.2013.35.3.343
ISSN
1225-293X
Abstract
In this paper we prove that if Toeplitz operators Tαu with symbols in RW satisfy ||ukαz||s,α -> 0 as z -> ∂D then Tαu is compact and also prove that if Tαu is compact then the Berezintransform of Tαu equals to zero on ∂D.|
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