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Compact Toeplitz operators with continuous symbols on weighted Bergman spaces

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/5823

Title: Compact Toeplitz operators with continuous symbols on weighted Bergman spaces
Authors: NAKAZI, TAKAHIKO1 Browse this author →KAKEN DB
YONEDA, RIKIO Browse this author
Authors(alt): 中路, 貴彦1
Issue Date: 1999
Publisher: Cambridge University Press
Journal Title: Glasgow Mathematical Journal
Volume: 42
Start Page: 31
End Page: 35
Publisher DOI: 10.1017/S0017089500010053
Abstract: Let L2 a (D, dσdθ/2π) be a complete weighted Bergman space on the open unit disc D, where dσ is a positive finite Borel measure on [0, 1). We show the following : when is a continuous function on the closed unit disc  ̄D; TΦ is compact if and only if Φ=0 on∂D.
Rights: Copyright © 1999 Cambridge University Press
Type: article
URI: http://hdl.handle.net/2115/5823
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 中路 貴彦

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