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arxiv: 1802.06948 · v1 · pith:CI6BXGJUnew · submitted 2018-02-20 · 🧮 math.CV

On the Totik-Widom property for a Quasidisk

classification 🧮 math.CV
keywords quasidiskcdotcomplexconstructinftymathrmmonicplane
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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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