Analytic capacities of finite sequences in the unit disc in Besov spaces
-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
Publication history:
Received 04 August 2024; revised on 31 October 2024; accepted on 02 November 2024
Abstract:
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.
Keywords:
Besov space of analytic functions; Blaschke products; Analytic capacities; Functional calculus
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