Carleson embeddings and some classes of operators on weighted Bergman spaces |
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| Authors: | Olivia Constantin |
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| Institution: | Faculty of Mathematics, University of Vienna, Norbergstrasse 15, 1090 Vienna, Austria |
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| Abstract: | We prove Carleson-type embedding theorems for weighted Bergman spaces with Békollé weights. We use this to study properties of Toeplitz-type operators, integration operators and composition operators acting on such spaces. In particular, we investigate the membership of these operators to Schatten class ideals. |
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| Keywords: | Weighted Bergman spaces Carleson measures Toeplitz operators Composition operators |
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