Analytic capacities in Besov spaces
Complex Variables
2024-07-16 v2
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.
Keywords
Cite
@article{arxiv.2401.00235,
title = {Analytic capacities in Besov spaces},
author = {Anton Baranov and Michael Hartz and Ilgiz Kayumov and Rachid Zarouf},
journal= {arXiv preprint arXiv:2401.00235},
year = {2024}
}
Comments
21 pages