The multidimensional Luzin theorem

被引：10

作者：

Moonens, Laurent ^{[1
]}

Pfeffer, Washek F. ^{[2
]}

机构：

[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium

[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期

关键词：

derivative forms normal currents; charges;

D O I：

10.1016/j.jmaa.2007.07.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Each measurable map of an open set U subset of R-n to R-n is equal almost everywhere to the gradient of a continuous almost everywhere differentiable function defined on R-n that vanishes, together with its gradient, outside U. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：746 / 752

页数：7

共 11 条

[1] A LUSIN TYPE THEOREM FOR GRADIENTS [J].

ALBERTI, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 100 (01) :110-118

[2]

[Anonymous], 1964, THEORY INTEGRAL

[3]

DEPAUW T, IN PRESS COMM PURE A

[4]

Evans L. C., 2018, Measure Theory and Fine Properties of Functions

[5]

Federer H., 2014, GEOMETRIC MEASURE TH

[6] Luzin's theorem for charges [J].

Howard, EJ ;

Pfeffer, WF .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (03) :857-863

[7]

KURZWEIL J, 1991, CZECH MATH J, V41, P695

[8]

LUSIN N., 1917, ANN MAT PUR APPL, V26, P77

[9]

PFEFER WF, 2001, DERIVATION INTEGRATI

[10]

PFEFFER WF, 1993, P AM MATH SOC, V117, P411

← 1 2 →