The growth of polynomials orthogonal on the unit circle with respect to a weight w that satisfies $w$,$1/w\in L^{\infty }(\mathbb{T})$

Abstract

We consider the weight w: 1<w<T on the unit circle and prove that the corresponding orthonormal polynomials can grow.

arXiv commentLemma 7.1 is corrected and a few typos are fixed