For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform. The notion of essentially radial symbol is a natural extension, in the context of multiply-connected domains, of the notion of radial symbol on the disk. In this paper we analyze the relationship between the boundary behavior of the Berezin transform and the compactness of T when Lφ when; φ L 2(ω) is essentially radial and is multiply-connected domains. © 2012 Roberto C. Raimondo.

Raimondo, R. (2012). Toeplitz operators with essentially radial symbols. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2012 [10.1155/2012/492690].

Toeplitz operators with essentially radial symbols

RAIMONDO, ROBERTO
2012

Abstract

For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform. The notion of essentially radial symbol is a natural extension, in the context of multiply-connected domains, of the notion of radial symbol on the disk. In this paper we analyze the relationship between the boundary behavior of the Berezin transform and the compactness of T when Lφ when; φ L 2(ω) is essentially radial and is multiply-connected domains. © 2012 Roberto C. Raimondo.
Articolo in rivista - Articolo scientifico
Toeplits operators
English
2012
2012
492690
none
Raimondo, R. (2012). Toeplitz operators with essentially radial symbols. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2012 [10.1155/2012/492690].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/102403
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