Riesz transform and related inequalities on noncompact Riemannian manifolds

被引:73
作者
Coulhon, T
Duong, XT
机构
[1] Univ Cergy Pontoise, Dept Math, F-95302 Pontoise, France
[2] Macquarie Univ, Dept Math, N Ryde, NSW 2109, Australia
关键词
HEAT KERNEL; UPPER-BOUNDS; LIE-GROUPS; 1-LESS-THAN-OR-EQUAL-TO-P-LESS-THAN-OR-EQUAL-TO-2; OPERATORS; LAPLACIAN; POWERS; GRAPHS;
D O I
10.1002/cpa.3040
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:1728 / 1751
页数:24
相关论文
共 45 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]  
Auscher P., BOUNDEDNESS BANACH S
[3]  
BAKRY D, 1987, LECT NOTES MATH, V1247, P137
[4]  
BAKRY D, 1989, PROGR PROBAB, V17, P1
[5]  
Bakry D., 1985, Lecture Notes in Math., V1123, P145
[6]   Manifolds and graphs with slow heat kernel decay [J].
Barlow, M ;
Coulhon, T ;
Grigor'yan, A .
INVENTIONES MATHEMATICAE, 2001, 144 (03) :609-649
[7]  
BLUNCK S, IN PRESS MATH Z
[8]  
CARLEN EA, 1987, ANN I H POINCARE-PR, V23, P245
[9]  
CHEN JC, 1992, CHINESE ANN MATH B, V13, P374
[10]  
Coifman R. R., 1971, Lecture Notes in Math., V242