Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials

被引：4

作者：

Colorado, E. ^{[1
]}

Pestana, D. ^{[1
]}

Rodriguez, J. M. ^{[1
]}

Romera, E. ^{[1
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 407卷 / 02期

关键词：

Muckenhoupt inequality; Multiplication operator; Zero location; Weight; Sobolev orthogonal polynomials; Weighted Sobolev spaces; EXTREMAL POLYNOMIALS; ZERO LOCATION; SPACES; RESPECT;

D O I：

10.1016/j.jmaa.2013.05.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：369 / 386

页数：18

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