SOBOLEV, BESOV AND NIKOLSKII FRACTIONAL SPACES - IMBEDDINGS AND COMPARISONS FOR VECTOR-VALUED SPACES ON AN INTERVAL

被引：117

作者：

SIMON, J ^{[1
]}

机构：

[1] UNIV CLERMONT FERRAND,DEPT MATH APPL,F-63177 CLERMONT FERRAND,FRANCE

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1990年 / 157卷

关键词：

D O I：

10.1007/BF01765315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider various fractional properties of regularity for vector valued functions defined on an interval I. In other words we study the functions in the Sobolev spaces W(s,p)(I;E), in the Nikolskii spaces N(s,p)(I;E), or in the Besov spaces B-lambda-s,p(I;E). Theses spaces are defined by integration and translation, and E is a Banach space. In particular we study the dependence on the parameters s, p and lambda, that is imbeddings for different parameters. Moreover we compare each space to the others, and we give Lipschitz continuity, existence of traces and q-integrability properties. These results rely only on integration techniques.

引用

页码：117 / 148

页数：32