Optimality of embeddings of logarithmic Bessel potential spaces

被引：11

作者：

Edmunds, DE ^{[1
]}

Gurka, P

Opic, B

机构：

[1] Univ Sussex, Ctr Math Anal & Applicat, Brighton BN1 9QH, E Sussex, England

[2] Czech Univ Agr, Dept Math, Prague 16521 6, Czech Republic

[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2000年 / 51卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1093/qjmath/51.2.185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the sharpness of recently-obtained embedding theorems for certain logarithmic Bessel potential spaces modelled upon generalized Lorentz-Zygmund (GLZ) spaces. The target spaces may be of GLZ or Holder type, including in particular spaces of 'almost Lipschitz' type familiar from the work of Brezis and Wainger.

引用

页码：185 / 209

页数：25

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