Maximal characterization of Hardy-Sobolev spaces on manifolds

被引：0

作者：

Badr, N. ^{[1
]}

Dafni, G. ^{[2
]}

机构：

[1] Univ Lyon 1, CNRS, Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

来源：

CONCENTRATION, FUNCTIONAL INEQUALITIES AND ISOPERIMETRY | 2011年 / 545卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

DOMAINS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a complete non-compact Riemannian manifold with a doubling measure and admitting a Poincare inequality. In the present paper, we identify the Sobolev space M-1(1), introduced by Hajlasz, with a new Hardy-Sobolev space defined by requiring the integrability of a certain maximal function of the gradient. This completes the circle of ideas begun in [4], where M-1(1) was identified with a Hardy-Sobolev space via atomic decomposition.

引用

页码：13 / +

页数：2

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