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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The author is supported The Finnish National Graduate School in Mathematics and its Applications and partially supported by the Academy of Finland project “Functional analysis and applications”.
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Perälä, A. Toeplitz Operators on Bloch-type Spaces and Classes of Weighted Sobolev Distributions. Integr. Equ. Oper. Theory 71, 113–128 (2011). https://doi.org/10.1007/s00020-011-1890-3
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DOI: https://doi.org/10.1007/s00020-011-1890-3