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Title: | Hypercontractive inequalities for weighted Bergman spaces | Authors: | Melentijević, Petar | Issue Date: | 1-Dec-2023 | Publisher: | Willey | Journal: | Bulletin of the London Mathematical Society | Abstract: | We obtain sharp (Formula presented.) hypercontractive inequalities for the weighted Bergman spaces on the unit disk (Formula presented.) with the usual weights (Formula presented.) for (Formula presented.), thus solving an interesting case of a problem from Janson [Ark. Math. 21 (1983), no. 1, 97–110]. We also give some estimates for (Formula presented.). |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1278 | ISSN: | 00246093 | DOI: | 10.1112/blms.12883 |
Appears in Collections: | Research outputs |
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