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Analytic capacities of finite sequences in the unit disc in Besov spaces

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  • Analytic Capacities of Finite Sequences In The Unit Disc In Besov Spaces
  • Analytic capacities of finite sequences in the unit disc in Besov spaces

BUSHARA EISA HAMAD ABDALLA *

-Faculty of Education, Department of Mathematics, White Nile University, Kosti, Sudan
 
Research Article
GSC Advanced Research and Reviews, 2024, 21(02), 062–081.
Article DOI: 10.30574/gscarr.2024.21.2.0323
DOI url: https://doi.org/10.30574/gscarr.2024.21.2.0323
Received 04 August 2024; revised on 31 October 2024; accepted on 02 November 2024
 
This study drives new estimate on analytic capacities of finite sequences in the unit disc in Besov spaces with zero smoothness, for a range of parameters, are optimal. The work is motivated both from the perspective of complex analysis by the description of sets of zero/uniqueness, and from the one matrix analysis / operator theory by estimates on norms of inverses.
 
Besov space of analytic functions; Blaschke products; Analytic capacities; Functional calculus
 
https://gscarr.gsconlinepress.com/sites/default/files/fulltext_pdf/GSCARR-2024-…

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BUSHARA EISA HAMAD ABDALLA. Analytic capacities of finite sequences in the unit disc in Besov spaces. GSC Advanced Research and Reviews, 2024, 21(2), 062-081. Article DOI: https://doi.org/10.30574/gscarr.2024.21.2.0323

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