V. Andrievskii

activity

20002025

most citedConstructive Function Theory on Sets of the Complex Plane through Potential Theory and Geometric Function Theory

11 citations · 17 across the 14 of their papers we have counts for

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Showing 2018 · math.CVShow all

3 papers · 2 filters

math.CV2018

Bernstein Polynomial Inequality on a Compact Subset of the Real Line

Vladimir Andrievskii

We prove an analogue of the classical Bernstein polynomial inequality on a compact subset $E$ of the real line. The Lipschitz continuity of the Green function for the complement of…

math.CV2018

On Hilbert lemniscate theorem for a system of continua

Vladimir Andrievskii

Let $K$ be a compact set in the complex plane consisting of a finite number of continua. We study the rate of approximation of $K$ from the outside by lemniscates in terms of level…

math.CV2018★ 2 cited

On the Totik-Widom property for a Quasidisk

V. Andrievskii, F. Nazarov

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 $∣∣ p_{n} ∣ ∣_{K} \leq O (1) cap (K)^{n}$ as $…