Analytic capacities in Besov spaces
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911954175524864 |
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| author | Baranov, Anton Hartz, Michael Kayumov, Ilgiz Zarouf, Rachid |
| author_facet | Baranov, Anton Hartz, Michael Kayumov, Ilgiz Zarouf, Rachid |
| contents | We derive new estimates on analytic capacities of finite sequences in the unit disc in Besov spaces with zero smoothness, which sharpen the estimates obtained by N.K.Nikolski in 2005 and, for a range of parameters, are optimal. The work is motivated both from the perspective of complex analysis by the description of sets of zeros/uniqueness, and from the one of matrix analysis/operator theory by estimates on norms of inverses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00235 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytic capacities in Besov spaces Baranov, Anton Hartz, Michael Kayumov, Ilgiz Zarouf, Rachid Complex Variables 30H25, 30C85, 30J10 We derive new estimates on analytic capacities of finite sequences in the unit disc in Besov spaces with zero smoothness, which sharpen the estimates obtained by N.K.Nikolski in 2005 and, for a range of parameters, are optimal. The work is motivated both from the perspective of complex analysis by the description of sets of zeros/uniqueness, and from the one of matrix analysis/operator theory by estimates on norms of inverses. |
| title | Analytic capacities in Besov spaces |
| topic | Complex Variables 30H25, 30C85, 30J10 |
| url | https://arxiv.org/abs/2401.00235 |