On the Totik-Widom property for a Quasidisk

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 $n\to \infty .$