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https://research.matf.bg.ac.rs/handle/123456789/1278| Title: | Hypercontractive inequalities for weighted Bergman spaces | Authors: | Melentijević, Petar | Keywords: | Sharp inequalities;Bergman spaces;subharmonicity;unit disc | Issue Date: | 1-Dec-2023 | Rank: | M22 | 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.). |
Description: | This is the peer reviewed version of the following article: Melentijević, P. (2023), Hypercontractive inequalities for weighted Bergman spaces. Bull. London Math. Soc., 55: 2611-2616. https://doi.org/10.1112/blms.12883, which has been published in final form at https://doi.org/10.1112/blms.12883. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. |
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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| 2211.03655v2.pdf | 115.2 kB | Adobe PDF | Request a copy |
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