Strong asymptotics for $L_{p}$ extremal polynomials off a complex curve

Abstract

We study the asymptotic behavior of $L_p\left(\sigma \right)$ extremal polynomials with respect to a measure of the form $\sigma =\alpha +\gamma$, where $\alpha$ is a measure concentrated on a rectifiable Jordan curve in the complex plane and $\gamma$ is a discrete measure concentrated on an infinite number of mass points.