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Analytic capacities in Besov spaces. / Baranov, A.; Hartz, M.; Kayumov, I.; Zarouf, R.

In: Journal of Functional Analysis, Vol. 287, No. 8, 01.10.2024.

Research output: Contribution to journal › Article › peer-review

Harvard

Baranov, A, Hartz, M, Kayumov, I & Zarouf, R 2024, 'Analytic capacities in Besov spaces', Journal of Functional Analysis, vol. 287, no. 8. https://doi.org/10.1016/j.jfa.2024.110564

APA

Baranov, A., Hartz, M., Kayumov, I., & Zarouf, R. (2024). Analytic capacities in Besov spaces. Journal of Functional Analysis, 287(8). https://doi.org/10.1016/j.jfa.2024.110564

Vancouver

Baranov A, Hartz M, Kayumov I, Zarouf R. Analytic capacities in Besov spaces. Journal of Functional Analysis. 2024 Oct 1;287(8). https://doi.org/10.1016/j.jfa.2024.110564

Author

Baranov, A. ; Hartz, M. ; Kayumov, I. ; Zarouf, R. / Analytic capacities in Besov spaces. In: Journal of Functional Analysis. 2024 ; Vol. 287, No. 8.

BibTeX

@article{ffe96241fc8440559e4ab46afd7365cf,
title = "Analytic capacities in Besov spaces",
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. {\textcopyright} 2024 The Authors",
keywords = "Analytic capacities, Besov space of analytic functions, Blaschke products, Functional calculus",
author = "A. Baranov and M. Hartz and I. Kayumov and R. Zarouf",
note = "Export Date: 19 October 2024 CODEN: JFUAA Сведения о финансировании: Caisse des d{\'e}p{\^o}ts et consignations, CDC Сведения о финансировании: Deutsche Forschungsgemeinschaft, DFG, 466012782 Сведения о финансировании: Russian Science Foundation, RSF, 23-11-00153 Текст о финансировании 1: M.H. was partially supported by the Emmy Noether Program of the German Research Foundation (DFG Grant 466012782). The work of I.K. in Sections 5 and 6 was supported by Russian Science Foundation (grant 23-11-00153). The work of R.Z. was supported by the pilot center Ampiric, funded by the France 2030 Investment Program operated by the Caisse des D\u00E9p\u00F4ts.",
year = "2024",
month = oct,
day = "1",
doi = "10.1016/j.jfa.2024.110564",
language = "Английский",
volume = "287",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "8",

}

RIS

TY - JOUR

T1 - Analytic capacities in Besov spaces

AU - Baranov, A.

AU - Hartz, M.

AU - Kayumov, I.

AU - Zarouf, R.

N1 - Export Date: 19 October 2024 CODEN: JFUAA Сведения о финансировании: Caisse des dépôts et consignations, CDC Сведения о финансировании: Deutsche Forschungsgemeinschaft, DFG, 466012782 Сведения о финансировании: Russian Science Foundation, RSF, 23-11-00153 Текст о финансировании 1: M.H. was partially supported by the Emmy Noether Program of the German Research Foundation (DFG Grant 466012782). The work of I.K. in Sections 5 and 6 was supported by Russian Science Foundation (grant 23-11-00153). The work of R.Z. was supported by the pilot center Ampiric, funded by the France 2030 Investment Program operated by the Caisse des D\u00E9p\u00F4ts.

PY - 2024/10/1

Y1 - 2024/10/1

N2 - 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. © 2024 The Authors

AB - 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. © 2024 The Authors

KW - Analytic capacities

KW - Besov space of analytic functions

KW - Blaschke products

KW - Functional calculus

UR - https://www.mendeley.com/catalogue/065de7ca-a02b-3c13-b6e3-52cb61b47fd0/

U2 - 10.1016/j.jfa.2024.110564

DO - 10.1016/j.jfa.2024.110564

M3 - статья

VL - 287

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 8

ER -

ID: 126354650