ENDPOINT FOR THE DIV-CURL LEMMA IN HARDY SPACES

被引:56
作者
Bonami, Aline [1 ]
Feuto, Justin [2 ]
Grellier, Sandrine [1 ]
机构
[1] Univ Orleans, MAPMO, UMR 6628, Dept Math, F-45067 Orleans 2, France
[2] Univ Cocody, Lab Math Fondamentales, UFR Math & Informat, Abidjan 22, Cote Ivoire
关键词
Hardy-spaces; Hardy-Orlicz spaces; div-curl lemma; differential forms; R-N; LIPSCHITZ-DOMAINS; EXACT FORMS; BMO;
D O I
10.5565/PUBLMAT_54210_03
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a div-curl type lemma for the wedge product of closed differential forms on R(n) when they have coefficients respectively in a Hardy space and L(infinity) or BMO. In this latter case, the wedge product belongs to an appropriate Hardy-Orlicz space.
引用
收藏
页码:341 / 358
页数:18
相关论文
共 19 条
[1]  
[Anonymous], 1966, GRUNDLEHREN MATH WIS
[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]   WEAK-L INFINITY AND BMO [J].
BENNETT, C ;
DEVORE, RA ;
SHARPLEY, R .
ANNALS OF MATHEMATICS, 1981, 113 (03) :601-611
[4]   On the product of functions in BMO and H1 [J].
Bonami, Aline ;
Iwaniec, Tadeusz ;
Jones, Peter ;
Zinsmeister, Michel .
ANNALES DE L INSTITUT FOURIER, 2007, 57 (05) :1405-1439
[5]   HANKEL OPERATORS AND WEAK FACTORIZATION FOR HARDY-ORLICZ SPACES [J].
Bonami, Aline ;
Grellier, Sandrine .
COLLOQUIUM MATHEMATICUM, 2010, 118 (01) :107-132
[6]  
BONOMI A, 2009, APPL NUMERICAL HARMO, P57
[7]  
COIFMAN R, 1993, J MATH PURE APPL, V72, P247
[8]   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
[9]  
Dafni G, 2005, ADV DIFFERENTIAL EQU, V10, P505
[10]   LOCAL VERSION OF REAL HARDY SPACES [J].
GOLDBERG, D .
DUKE MATHEMATICAL JOURNAL, 1979, 46 (01) :27-42