Dirac-Sobolev Spaces and Sobolev Spaces

被引：3

作者：

Ichinose, Takashi ^{[1
]}

Saito, Yoshimi ^{[2
]}

机构：

[1] Kanazawa Univ, Dept Math, Kanazawa, Ishikawa 9201192, Japan

[2] Univ Alabama Birmingham, Birmingham, AL USA

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2010年 / 53卷 / 02期

关键词：

Sobolev spaces; Dirac oprerator;

D O I：

10.1619/fesi.53.291

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to study the first order Dirac-Sobolev spaces in LP norm on an open subset of R-3 to clarify its relationship with the corresponding Sobolev spaces. It is shown that for 1 < p < infinity, they coincide, while for p = 1, the latter spaces are proper subspaces of the former.

引用

页码：291 / 310

页数：20

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