Continuity of Weighted Operators, Muckenhoupt Ap Weights, and Steklov Problem for Orthogonal Polynomials

被引：2

作者：

Alexis, Michel ^{[1
]}

Aptekarev, Alexander ^{[2
]}

Denisov, Sergey ^{[1
,2
]}

机构：

[1] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA

[2] Russian Acad Sci, Keldysh Inst Appl Math, Miusskaya Pl 4, Moscow 125047, Russia

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rnaa249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider weighted operators acting on L-p(R-d) and show that they depend continuously on the weight w is an element of A(p) (R-d) in the operator topology. Then, we use this result to estimate L-w(p)(T) norm of polynomials orthogonal on the unit circle when the weight w belongs to Muckenhoupt class A(2)(T) and p > 2. The asymptotics of the polynomial entropy is obtained as an application.

引用

页码：5935 / 5972

页数：38