Multiplication Operator with BMO Symbols and Berezin Transform

Multiplication Operator with BMO Symbols and Berezin Transform

We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.

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Veröffentlicht in:Journal of function spaces 2015-01, Vol.2015 (2015), p.1-4
Hauptverfasser: Liu, Xianmin, Dong, Jianguo, Zhang, Kan, Feng, Xue, Guan, Chi
Format: Artikel
Sprache:eng
Schlagworte:
Function space
Multiplication
Operators
Symbols
Transforms
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Beschreibung
Zusammenfassung:We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
ISSN:2314-8896
2314-8888
DOI:10.1155/2015/754646