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- Title
- Mixed de Branges-Rovnyak and sub-Bergman spaces
- KIAS Author
- Lee, Woo Young
- Journal
- LINEAR ALGEBRA AND ITS APPLICATIONS, 2024
- Archive
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- Abstract
- In this paper we obtain some general results about mixed second order de Branges-Rovnyak spaces defined by an operator A such that both A and A & lowast; are 2-hypercontractions. As applications of these results, we study mixed second order sub-Bergman spaces since the analytic Toeplitz operator Tb on weighted Bergman space A2 alpha for alpha >= 0 on the unit disk is such that both Tb and Tb & lowast; are 2-hypercontractions. (c) 2024 Elsevier Inc. All rights reserved.