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Some Operators on the Weighted Bergman SpacesSome Operators on the Weighted Bergman Spaces

Other Titles
Some Operators on the Weighted Bergman Spaces
Authors
Si Ho Kang
Issue Date
Mar-2008
Publisher
호남수학회
Keywords
Dual space; weighted Bergman space; B¹r-cancellation property; Toeplitz operators; Hankel operators.
Citation
호남수학학술지, v.30, no.1, pp 147 - 164
Pages
18
Journal Title
호남수학학술지
Volume
30
Number
1
Start Page
147
End Page
164
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/14525
ISSN
1225-293X
Abstract
In the setting of the half-plane of the complex plane, we show that for r >-½ the dual space of the weighted Bergman spaces B¹r is the Bloch space and we introduce some operators. We also study Toeplitz and Hankel operators and we find some characterization of Hankel operators.
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