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.
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页码：245 / 295
页数：51
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