A reproducing kernel thesis for operators on Bergman-type function spaces |
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| Authors: | Mishko Mitkovski Brett D Wick |
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| Institution: | 1. Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC 29634, USA;2. School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160, USA |
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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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| Keywords: | 32A36 32A 47B05 47B35 |
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