Non-compact embeddings of Sobolev spaces

被引：0

作者：

Edmunds, D. E. ^{[1
]}

Lang, J. ^{[2
]}

机构：

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

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

来源：

JOURNAL OF APPROXIMATION THEORY | 2023年 / 286卷

关键词：

Sobolev embedding; Non-compact map; Strictly singular map; Finitely strictly singular map; Bernstein numbers;

D O I：

10.1016/j.jat.2022.105848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：6

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