- November 2013
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- We generalize the Muckenhoupt inequality with two measures to three under certain conditions. As a consequence, we prove a very simple characterization of the boundedness 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. (C) 2013 Elsevier Inc. All rights reserved.