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

Roberto C. Raimondo

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-26

Abstract:

We study the problem of the boundedness and compactness of 𠑇 𠜙 when 𠜙 ∈ ð ¿ 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 𠑇 𠜙 .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:164843

DOI: 10.1155/2011/164843

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