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arxiv: 1212.0507 · v4 · submitted 2012-12-03 · 🧮 math.CV · math.CA

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

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classification 🧮 math.CV math.CA
keywords spacesbergman-typekerneloperatorsreproducingthesisunitweighted
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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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