Toeplitz Operators on Bloch-type Spaces and Classes of Weighted Sobolev Distributions |
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Authors: | Antti Perälä |
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Institution: | 1.Department of Mathematics and Statistics,University of Helsinki,Helsinki,Finland |
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Abstract: | We study Toeplitz operators between analytic Bloch-type spaces of the unit disk. We construct suitable classes of distributions
that generate bounded Toeplitz operators between these spaces. The classes are naturally connected to the corresponding results
in the reflexive Bergman space setting and previously known results on A
1 and the Bloch space. We also study distributional symbols satisfying logarithmic BMO-condition. In addition, sufficient compactness
criteria are provided. |
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Keywords: | |
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