A four-way Szegő theorem for $L^p$ extremal polynomials on subsets of $\mathbb{R}$

Gökalp Alpan, Maxim Zinchenko

We prove a four-way Szegő theorem for $L^p$ extremal polynomials on compact supports $K=K_0\cup X\subset \mathbb{R}$, where $K_0$ is a regular compact set and $X$ is a finite or coun…