Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials
Functional Analysis
2012-12-12 v1
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.
Keywords
Cite
@article{arxiv.1212.2373,
title = {Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials},
author = {E. Colorado and D. Pestana and J. M. Rodriguez and E. Romera},
journal= {arXiv preprint arXiv:1212.2373},
year = {2012}
}