Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)
Abstract
In the case when the weight and its inverse belong to BMO(T), we prove the asymptotics of the monic orthogonal polynomials in Lp, 2<p<p0. Immediate applications include the estimates on the uniform norm and asymptotics for the polynomial entropy.
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