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On the Totik–Widom Property for a Quasidisk

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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 all their zeros on K such that \(\Vert p_n\Vert _K\le O(1)\text{ cap }(K)^n\) as \(n\rightarrow \infty \).

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Correspondence to V. Andrievskii.

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Communicated by Kristian Seip.

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Andrievskii, V., Nazarov, F. On the Totik–Widom Property for a Quasidisk. Constr Approx 50, 497–505 (2019). https://doi.org/10.1007/s00365-018-9452-4

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  • DOI: https://doi.org/10.1007/s00365-018-9452-4

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