Bernstein widths of Hardy-type operators in a non-homogeneous case

被引：7

作者：

Edmunds, D. E.

Lang, J.

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 02期

关键词：

approximation and Bernstein numbers; pq-Laplacian; weighted Hardy-type operators; integral operators; weighted spaces;

D O I：

10.1016/j.jmaa.2006.02.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let I = [a, b] subset of R, let 1 < p <= q < infinity, let u and v be positive functions with u is an element of L-p '(I), v is an element of L-q(I) and let T : L-p (I) -> L-q (I) be the Hardy-type operator given by [GRAPHIC] We show that the Bernstein numbers b(n) of T satisfy [GRAPHIC] where c(pq) is an explicit constant depending only on p and q. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1060 / 1076

页数：17

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