On functions with derivatives in a Lorentz space

被引：75

作者：

Kauhanen, J

Koskela, P

Maly, J

机构：

[1] Univ Jyvaskyla, Dept Math, FIN-40351 Jyvaskyla, Finland

[2] Charles Univ, Fac Math & Phys, Dept KMA, CZ-18675 Prague 8, Czech Republic

来源：

MANUSCRIPTA MATHEMATICA | 1999年 / 100卷 / 01期

关键词：

D O I：

10.1007/s002290050197

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a sharp integrability condition on the partial derivatives of a Sobolev mapping to guarantee that sets of measure zero get mapped to sets of measure zero. This condition is sharp also for continuity and differentiability almost everywhere.

引用

页码：87 / 101

页数：15

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