Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols | Zendy

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Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols

Author(s) -

Roberto Raimondo

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/164843

Subject(s) - mathematics , compact space , bergman space , toeplitz matrix , planar , domain (mathematical analysis) , pure mathematics , mathematical analysis , boundary (topology) , space (punctuation) , symbol (formal) , bounded function , linguistics , philosophy , computer graphics (images) , computer science , programming language

We study the problem of the boundedness and compactness of when ∈2(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

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