Analytic capacities in Besov spaces

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...

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Bibliographic Details
Published inJournal of functional analysis Vol. 287; no. 8; p. 110564
Main Authors Baranov, Anton, Hartz, Michael, Kayumov, Ilgiz, Zarouf, Rachid
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2024
Elsevier
SeriesAMPIRIC
Subjects
Analytic capacities
Besov space of analytic functions
Blaschke products
Functional calculus
Mathematics
secondary
Besov space of analytic functions
Blaschke products
Analytic capacities
Functional calculus
primary
Secondary 30J10
2010 Mathematics Subject Classification. Primary 30H25
47A60
Online AccessGet full text
ISSN0022-1236
1096-0783
DOI10.1016/j.jfa.2024.110564

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Summary: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.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2024.110564