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Toeplitz Operators with Essentially Radial Symbols

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  • Roberto C. Raimondo

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 𠑇 𠜙 when 𠜙 ∈ ð ¿ 2 ( Ω ) is essentially radial and Ω is multiply-connected domains.

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  • Roberto C. Raimondo, 2012. "Toeplitz Operators with Essentially Radial Symbols," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:492690
    DOI: 10.1155/2012/492690
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    1. Roberto C. Raimondo, 2011. "Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-26, August.
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