WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

Bounded, compact and Schatten class weighted composition operators on the Bergman space are characterized by the use of generalized Berezin transforms. An estimate of the essential norms of weighted composition operators on the Bergman space is given. Most of the results remain true for Hardy spaces...

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Veröffentlicht in:	Journal of the London Mathematical Society 2004-10, Vol.70 (2), p.499-511
Hauptverfasser:	C˘UC˘KOVIĆ, Z˘ELJKO, ZHAO, RUHAN
Format:	Artikel
Sprache:	eng
Schlagworte:	Notes and Papers
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Bounded, compact and Schatten class weighted composition operators on the Bergman space are characterized by the use of generalized Berezin transforms. An estimate of the essential norms of weighted composition operators on the Bergman space is given. Most of the results remain true for Hardy spaces and weighted Bergman spaces.
ISSN:	0024-6107 1469-7750
DOI:	10.1112/S0024610704005605