Measures of Non-Compactness and Sobolev-Lorentz Spaces

被引：5

作者：

Bouchala, Ondrej ^{[1
]}

机构：

[1] Charles Univ Prague, Dept Math Anal, Sokolovska 83, Prague 18600 8, Czech Republic

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2020年 / 39卷 / 01期

关键词：

Measure of non-compactness; Lorentz spaces; Sobolev spaces; embeddings; ENTROPY NUMBERS; S-NUMBERS; EMBEDDINGS;

D O I：

10.4171/ZAA/1649

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the measure of non-compactness of the limiting embedding of Sobolev-Lorentz spaces is equal to the norm. This is a consequence of our general theorem for arbitrary Banach spaces.

引用

页码：27 / 40

页数：14

共 14 条

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