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Weighted Composition Operators on the Bergman Space
Author(s) -
Cucković Zeljko,
Zhao Ruhan
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005605
Subject(s) - bergman space , mathematics , bergman kernel , composition (language) , bounded function , space (punctuation) , pure mathematics , hardy space , class (philosophy) , operator theory , mathematical analysis , computer science , linguistics , artificial intelligence , philosophy , operating system
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.