The best constant approximant operators in Lorentz spaces Γp,w and their applications

被引：4

作者：

Ciesielski, M. ^{[1
]}

Kaminska, A. ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 09期

关键词：

D O I：

10.1016/j.jat.2010.04.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present article we extend the best constant approximant operator from Lorentz spaces rp,u, to for any I < p < infinity and w >= 0 a locally integrable weight function, and from Gamma(1,w) to the space of all measurable functions L-0. Then we establish several properties of the extended best constant approximant operator and finally, we prove a generalized version of the Lebesgue Differentiation Theorem in L0. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1518 / 1544

页数：27

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