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arXiv · 1802.06948

On the Totik-Widom property for a Quasidisk

V. Andrievskii·F. Nazarov
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Abstract

Let $K$ be a quasidisk on the complex plane. We construct a sequence of monic polynomials $p_n=p_n(\cdot,K)$ with zeros on $K$ such that $||p_n||_K \le O(1) \mathrm{cap}(K)^n$ as $n\to\infty.$

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V. Andrievskii, F. Nazarov. 2018-02-20. On the Totik-Widom property for a Quasidisk. https://arxiv.org/abs/1802.06948

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