Lp estimates for Schrodinger operators on nilpotent groups

被引:65
作者
Li, HQ [1 ]
机构
[1] Univ Paris Sud, Dept Math, F-91405 Orsay, France
关键词
D O I
10.1006/jfan.1998.3347
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:152 / 218
页数:67
相关论文
共 13 条
[1]   AN APPLICATION OF HOMOGENIZATION THEORY TO HARMONIC-ANALYSIS - HARNACK INEQUALITIES AND RIESZ TRANSFORMS ON LIE-GROUPS OF POLYNOMIAL-GROWTH [J].
ALEXOPOULOS, G .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1992, 44 (04) :691-727
[2]   HARNACK INEQUALITY FOR SUM OF SQUARES OF VECTOR-FIELDS PLUS A POTENTIAL [J].
CITTI, G ;
GAROFALO, N ;
LANCONELLI, E .
AMERICAN JOURNAL OF MATHEMATICS, 1993, 115 (03) :699-734
[3]  
COIFMAN R, 1983, LECT NOTES MATH, V242
[4]   THE UNCERTAINTY PRINCIPLE [J].
FEFFERMAN, CL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 9 (02) :129-206
[5]  
Giaquinta M., 1983, MULTIPLE INTEGRALS C, V105
[6]  
LOHOUE N, 1985, CR ACAD SCI I-MATH, V301, P559
[7]   HARDY-SOBOLEV ESTIMATES ON CERTAIN RIEMANN MANIFOLDS AND LIE-GROUPS [J].
LOHOUE, N .
JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 112 (01) :121-158
[8]  
MICHELL J, 1985, J DIFFER GEOM, V21, P35
[9]  
Pansu P., 1983, ERGODIC THEORY DYN S, V3, P415, DOI [DOI 10.1017/S0143385700002054, 10.1017/S0143385700002054]
[10]   L(P) ESTIMATES FOR SCHRODINGER-OPERATORS WITH CERTAIN POTENTIALS [J].
SHEN, ZW .
ANNALES DE L INSTITUT FOURIER, 1995, 45 (02) :513-546