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Some Researches On Kth Slant Toeplitz Operators On Bergman Spaces Of The Unit Polydisk

Posted on:2013-01-19Degree:MasterType:Thesis
Country:ChinaCandidate:H M ZhuFull Text:PDF
GTID:2210330374468026Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we introduce the kth slant Toeplitz operator on Bergman space La2(Dn) of the unit polydisk, and have studied its several properties, such as boundness, compactness, spectrum and commutativity. Thus we have obtained the relationship between properties of the slant Toeplitz operator and its symbol. In a word, we extend the kth slant Toeplitz operator on Bergman space La2(D) to the case on La2(Dn).
Keywords/Search Tags:slant Toeplitz operator, Bergman space, Berezin transform, spectrum, compact operator
PDF Full Text Request
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