Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-22
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We study the problem of the boundedness and compactness of Tϕ when ϕ∈L2(Ω) and Ω is a planar domain.
We find a necessary and sufficient condition while imposing a condition that generalizes the notion of radial symbol on the disk.
We also analyze the relationship between the boundary behavior of the Berezin transform and the compactness of Tϕ.
American Psychological Association (APA)
Raimondo, Roberto C.. 2011. Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-26.
https://search.emarefa.net/detail/BIM-451051
Modern Language Association (MLA)
Raimondo, Roberto C.. Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-26.
https://search.emarefa.net/detail/BIM-451051
American Medical Association (AMA)
Raimondo, Roberto C.. Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-26.
https://search.emarefa.net/detail/BIM-451051
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451051
