The Steklov problem and estimates for orthogonal polynomials with Ap(T) weights
The presented paper is devoted to bounds of the orthogonal polynomials on the support of the measure of orthogonality. The big interest to this subject-matter is caused by famous Steklov problem and it’s modern development and understanding. We consider weights on the unit circle T with Ap characteristic close to 1. For the corresponding orthonormal polynomials, we obtain the upper estimates on the weighted Lp norm with p in (2,∞].
orthogonal polynomials, Steklov problem, bounds of orthogonal polynomials on the circle, Muckenhoupt weights
Publication language:russian, pages:19
Mathematical problems and theory of numerical methods