REPRESENTATION FORMULAS AND WEIGHTED POINCARE INEQUALITIES FOR HORMANDER VECTOR-FIELDS

被引：116
作者：
FRANCHI, B
LU, G
WHEEDEN, RL
机构：
[1] WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
[2] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
来源：
ANNALES DE L INSTITUT FOURIER | 1995年 / 45卷 / 02期
关键词：
HORMANDER VECTOR FIELDS; WEIGHTED POINCARE INEQUALITIES; REPRESENTATION FORMULAS; ISOPERIMETRIC INEQUALITIES;
D O I：
10.5802/aif.1466
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive weighted Poincare inequalities for vector fields which satisfy the Hormander condition, including new results in the unweighted case. We also derive a new integral representation formula for a function in terms of the vector fields applied to the function. As a corollary of the L(1) versions of Poincare's inequality, we obtain relative isoperimetric inequalities.
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页码：577 / 604
页数：28
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