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arXiv · 2401.00235

Analytic capacities in Besov spaces

Anton Baranov·Michael Hartz·Ilgiz Kayumov·Rachid Zarouf
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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.

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Anton Baranov, Michael Hartz, Ilgiz Kayumov, Rachid Zarouf. 2023-12-30. Analytic capacities in Besov spaces. https://arxiv.org/abs/2401.00235

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