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
[11]   INTEGRAL ESTIMATES FOR NULL LAGRANGIANS [J].
IWANIEC, T ;
LUTOBORSKI, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 125 (01) :25-79
[12]   Nonlinear Hodge Theory on Manifolds with Boundary [J].
Iwaniec, T. ;
Scott, C. ;
Stroffolini, B. .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1999, 177 (01) :37-115
[13]   Hardy space of exact forms on RN [J].
Lou, ZJ ;
McIntosh, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (04) :1469-1496
[14]   Hardy spaces of exact forms on Lipschitz domains in RN [J].
Lou, ZJ ;
McIntosh, A .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2004, 53 (02) :583-611
[15]  
Murat F., 1978, Ann. Sci. Norm. Sup. Pisa, V5, P489
[16]   ON WEAK CONTINUITY AND THE HODGE DECOMPOSITION [J].
ROBBIN, JW ;
ROGERS, RC ;
TEMPLE, B .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 303 (02) :609-618
[17]  
Schwarz G., 1995, LECT NOTES MATH, V1607
[18]  
Stein E. M., 1993, PRINCETON MATH SERIE, V43
[19]  
TARTAR L., 1979, Res. Notes in Math., V39, P136