Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)
arXiv:1601.03367
Abstract
In the case when the weight and its inverse belong to BMO(T), we prove the asymptotics of the monic orthogonal polynomials in L^p, 2<p<p_0. Immediate applications include the estimates on the uniform norm and asymptotics for the polynomial entropy.
arXiv commentLemma 3.1 and its proof are corrected. Minor changes are made as consequences of these corrections in proofs of Lemma 3.2 and 3.4