An atomic decomposition for the Hardy-Sobolev space

被引:10
作者
Lou, Zengjian [1 ]
Yang, Shouzhi [1 ]
机构
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 04期
关键词
Hardy-Sobolev space; hardy space; atomic decomposition; div-curl;
D O I
10.11650/twjm/1500404810
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define a Hardy-Sobolev space and give its atomic decomposition. As an application of the decomposition we prove a div-curl lemma.
引用
收藏
页码:1167 / 1176
页数:10
相关论文
共 12 条
[1]  
Adams A, 2003, SOBOLEV SPACES
[2]   Hardy!Sobolev spaces on strongly Lipschitz domains of Rn [J].
Auscher, P ;
Russ, E ;
Tchamitchian, P .
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 218 (01) :54-109
[3]  
COIFMAN R, 1993, J MATH PURE APPL, V72, P247
[4]   SOME NEW FUNCTION-SPACES AND THEIR APPLICATIONS TO HARMONIC-ANALYSIS [J].
COIFMAN, RR ;
MEYER, Y ;
STEIN, EM .
JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 62 (02) :304-335
[5]  
COIFMAN RR, 1974, STUD MATH, V51, P269
[6]  
FRAZIER M, 1989, LITTLEWOOD PALEY THE
[7]  
Girault V., 2012, FINITE ELEMENT METHO, V5
[8]   Global higher integrability of Jacobians on bounded domains [J].
Hogan, J ;
Li, C ;
McIntosh, A ;
Zhang, KW .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2000, 17 (02) :193-217
[9]  
LATTER RH, 1978, STUD MATH, V62, P92
[10]  
PENG LZ, 1983, BEIJING DAXUE XUEBAO, V2, P26