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

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...

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Bibliographic Details
Main Author: Roberto C. Raimondo
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/164843