Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials

2012/12/11 by E. Colorado, D. Pestana, Colorado, E. +5
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1212.2373

arxiv created 2012/12/11 · arxiv updated 2012/12/12

Abstract

We generalize the classical Muckenhoupt inequality with two measures to three under appropriate conditions. As a consequence, we prove a simple characterization of the undedness of the multiplication operator and thus of the boundedness of the zeros and the asymptotic behavior of the Sobolev orthogonal polynomials, for a large class of measures which includes the most usual examples in the literature.

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