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https://research.matf.bg.ac.rs/handle/123456789/3256| Title: | Hilbert matrix operator on Bergman-type spaces | Authors: | Karapetrović, Boban | Issue Date: | 2021 | Rank: | M32 | Publisher: | Fields Institute for Research in Mathematical Sciences | Related Publication(s): | Focus Program on Analytic Function Spaces and their Applications : Mini-course and Workshop in Bergman Spaces | Conference: | Focus Program on Analytic Function Spaces and their Applications : Mini-course and Workshop on Bergman Spaces (2021 ; online) | Abstract: | In this talk, we consider the boundedness of the Hilbert matrix operator on generalized mixed norm spaces and provide a complete characterization expressed by a simple condition in relation to the given parameters. This leads to the characterization of the boundedness of the Hilbert matrix on the weighted Bergman spaces and weighted Dirichlet spaces. We also discuss the question of determining the exact norm of the Hilbert matrix on the weighted Bergman spaces. |
Description: | Plenarno predavanje: B. Karapetrović M32 |
URI: | https://research.matf.bg.ac.rs/handle/123456789/3256 |
| Appears in Collections: | Research outputs |
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