Improved Sobolev Embedding Theorems for Vector-Valued Functions

被引：3

作者：

Ichinose, Takashi ^{[1
]}

Saito, Yoshimi ^{[2
]}

机构：

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

[2] Univ Alabama Birmingham, Dept Math, Birmingham, AL 35294 USA

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2014年 / 57卷 / 02期

关键词：

Sobolev inequality; Gagliardo-Nirenberg inequality; Improved Sobolev embedding theorem; Dirac-Sobolev inequality; Sobolev inequality for vector-valued functions; Dirac operator; DIV-CURL; DIRAC;

D O I：

10.1619/fesi.57.245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to give an extension of the improved Sobolev embedding theorem for single-valued functions to the case of vector-valued functions which is involved with the three-dimensional massless Dirac operator together with the three- or two-dimensional Weyl-Dirac (or Pauli) operator, the Cauchy-Riemann operator and also the four-dimensional Euclidian Dirac operator.

引用

页码：245 / 295

页数：51

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