外幂的可积性
On the Integrability of Exterior Power
摘要
本文利用Hodge分解等工具,给出了保证空间映射微分的外幂可积性的一个充分条件．
This paper gives a sufficient condition to ensure the integrability of exterior power for the differential of space mappings by using the method of Hodge decomposition.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2006年第4期757-762,共6页
Acta Mathematica Sinica：Chinese Series
基金
数学天元青年基金(A0324610)国家自然科学基金(10471149)河北省教育厅博士基金(B2004103)
关键词
可积性
外幂
HODGE分解
integrability
exterior power
Hodge decomposition
参考文献13
-
1Müller S.,Higher integrability of determinants and weak convergence in L1,J.Reine Angew.Math.,1990,412:20-34.
-
2Coifman R.R.,Lions P.L.,Meyer Y.and Semmes S.,Compacité par compensation et éspaces de Hardy,C.R.Acad.Sci.Paris,1989,309:945-949.
-
3Iwaniec T.and Sbordone C.,On the integrability of the Jacobian under minimal hypothesis,Arch.Rational Mech.Anal.,1992,119:129-143.
-
4Brézis H.,Fusco N.and Sbordone C.,Integrability for the Jacobian of orientation preserving mapping,J.Funct.Anal.,1993,115(2):425-431.
-
5Iwaniec T.,p-Harmonic tensors and quasiregular mappings,Ann of Math.,1992,136:589-624.
-
6Giannetti F.,Iwaniec T.,Onninen J.and Verde A.,Estimates of Jacobians by subdeterminants,J.Geom.Anal.,2002,12:223-254.
-
7Greco L.,Sharp integrability of nonnegative Jacobians,Rent.Mat.Appl.,1998,18:585-600.
-
8Greco.L.and Iwaniec T.,New inequalities for the Jacobian,Ann.Inst.H.Poincaré Anal.Non.Linéaire,1994,11:17-35.
-
9Greco L.,Iwaniec T.and Moscariello G.,Limits of the improved integrability of the volume forms,Indiana Univ.Math.J.,1995,44:305-339.
-
10Koskela P.,Zhong X.,Minimal assumptions for the integrability of the Jacobian,Ricerche Mat.,2002,51(2):297-311.
-
1陈圣滔.Abel群的外幂及有关性质[J].江汉石油学院学报,1996,18(1):127-130.
-
2洪文,曹维莲.利用准置换研究外幂Λ~k(V)和对称幂S^k(V)[J].安徽大学学报（自然科学版）,2000,24(2):3-6.
-
3岳锡亭,张玉石,潘英剑.复合矩阵[J].长春工业大学学报,2003,24(2):51-53. 被引量：2
-
4侯兰茹,褚玉明.偶数维空间上的广义Cauchy-Riemann方程组[J].湖州师范学院学报,2006,28(1):7-9.
-
5陈幼华,尹华玉.Krull整环中w-理想的直和[J].四川师范大学学报（自然科学版）,2011,34(4):447-449.
-
6函数论[J].中国学术期刊文摘,2006,12(23):8-8.
-
7高红亚.偶维数拟正则映照的一点注记[J].河北大学学报（自然科学版）,1998,18(4):333-335.
