Approximation in Morrey spaces

被引：36

作者：

Almeida, Alexandre ^{[1
]}

Samko, Stefan ^{[2
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr R&D Math & Applicat, P-3810193 Aveiro, Portugal

[2] Univ Algarve, Dept Math, Campus Gambelas, P-8005139 Faro, Portugal

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Morrey space; Vanishing properties; Approximation; Convolution;

D O I：

10.1016/j.jfa.2016.11.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new subspace of Morrey spaces whose elements can be approximated by infinitely differentiable compactly supported functions is introduced. Consequently, we give an explicit description of the closure of the set of such functions in Morrey spaces. A generalisation of known embeddings of Morrey spaces into weighted Lebesgue spaces is also obtained. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：2392 / 2411

页数：20

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