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arXiv · 1212.2373

Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials

E. Colorado·D. Pestana·J. M. Rodriguez·E. Romera
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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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E. Colorado, D. Pestana, J. M. Rodriguez, E. Romera. 2012-12-11. Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials. https://arxiv.org/abs/1212.2373

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