ISOPERIMETRIC-INEQUALITIES FOR DEGENERATE METRICS

被引：0

作者：

FRANCHI, B

GALLOT, S

WHEEDEN, RL

机构：

[1] INST FOURIER MATHS PURES,F-38402 ST MARTIN DHERES,FRANCE

[2] RUTGERS UNIV,DEPT SPACE RES,NEW BRUNSWICK,NJ 08903

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1993年 / 317卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note we state some optimal Sobolev inequalities for function spaces associated with continuous vector fields and different measures in an open set of Euclidean space. The class of vector fields under consideration includes those which satisfy the Hormander condition, but it also contains many others. We then derive isoperimetric inequalities for the degenerate metric associated with the vector fields.

引用

页码：651 / 654

页数：4

共 18 条

[1] INEQUALITIES FOR MAXIMAL FUNCTION RELATIVE TO A METRIC [J].