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http://dx.doi.org/10.4134/JKMS.2009.46.3.621

COMMUTATIVITY AND HYPONORMALITY OF TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACE  

Lu, Yufeng (DEPARTMENT OF APPLIED MATHEMATICS DALIAN UNIVERSITY OF TECHNOLOGY)
Liu, Chaomei (DEPARTMENT OF APPLIED MATHEMATICS DALIAN UNIVERSITY OF TECHNOLOGY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 621-642 More about this Journal
Abstract
In this paper we give necessary and sufficient conditions that two Toeplitz operators with monomial symbols acting on the weighted Bergman space commute. We also present necessary and sufficient conditions for the hyponormality of Toeplitz operators with some special symbols on the weighted Bergman space. All the results are stated in terms of the Mellin transform of the symbol.
Keywords
weighted Bergman space; Toeplitz operator; Mellin transform; commutativity; hyponormality;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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