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doi:10.22028/D291-42514 | Title: | Analytic capacities in Besov spaces |
| Author(s): | Baranov, Anton Hartz, Michael Kayumov, Ilgiz Zarouf, Rachid |
| Language: | English |
| Title: | Journal of Functional Analysis |
| Volume: | 287 |
| Issue: | 8 |
| Publisher/Platform: | Elsevier |
| Year of Publication: | 2024 |
| Free key words: | Besov space of analytic functions Blaschke products Analytic capacities Functional calculus |
| DDC notations: | 510 Mathematics |
| Publikation type: | Journal Article |
| Abstract: | 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. |
| DOI of the first publication: | 10.1016/j.jfa.2024.110564 |
| URL of the first publication: | https://doi.org/10.1016/j.jfa.2024.110564 |
| Link to this record: | urn:nbn:de:bsz:291--ds-425140 hdl:20.500.11880/38148 http://dx.doi.org/10.22028/D291-42514 |
| ISSN: | 0022-1236 |
| Date of registration: | 1-Aug-2024 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Professorship: | MI - Junior Professor Michael Hartz |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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| 1-s2.0-S0022123624002520-main.pdf | 440,76 kB | Adobe PDF | View/Open |
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