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arXiv · 1212.0507

A reproducing kernel thesis for operators on Bergman-type function spaces

Mishko Mitkovski·Brett D. Wick
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Abstract

In this paper we consider the reproducing kernel thesis for boundedness and compactness for various operators on Bergman-type spaces. In particular, the results in this paper apply to the weighted Bergman space on the unit ball, the unit polydisc and more generally to weighted Fock spaces.

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Mishko Mitkovski, Brett D. Wick. 2012-12-03. A reproducing kernel thesis for operators on Bergman-type function spaces. https://doi.org/10.1016/j.jfa.2014.07.020

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