Meromorphic Bergman spaces
UDC 517.5We introduce new spaces of holomorphic functions on the pointed unit disc in C that generalize classical Bergman spaces. We prove some fundamental properties of these spaces and their dual spaces. Finally, we extend the Hardy – Littlewood  and Fejer – Riesz inequalities to thes...
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| Datum: | 2022 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6163 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.5We introduce new spaces of holomorphic functions on the pointed unit disc in C that generalize classical Bergman spaces. We prove some fundamental properties of these spaces and their dual spaces. Finally, we extend the Hardy – Littlewood  and Fejer – Riesz inequalities to these spaces with application of the Toeplitz operators. ´ |
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| DOI: | 10.37863/umzh.v74i8.6163 |