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KIAM Preprint  40, Moscow, 2016
Authors: Aptekarev A. I., Denisov S. A.
The Steklov problem and estimates for orthogonal polynomials with Ap(T) weights
Abstract:
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 its 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,∞].
Keywords:
orthogonal polynomials, Steklov problem, bounds of orthogonal polynomials on the circle, Muckenhoupt weights
Publication language: russian,  pages: 19
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Aptekarev Alexander Ivanovich,  orcid.org/0000-0003-2777-3903KIAM RAS
  • Denisov Sergey Aleksandrovich,  KIAM RAS