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2001/2002 Decomposition of Variational Measure and the Arc-Length of a Curve in ℝn
Lu Shi-Pan, Lin Ying-Jian
Real Anal. Exchange 27(2): 673-682 (2001/2002).

Abstract

This paper discusses the decomposition of variational measures in $\mathbb{R}^{n}$ and, by using integral expressions of variational measure, gives an arc-length integral formula for the continuous curve in $\mathbb{R}^{n}$.

Citation

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Lu Shi-Pan. Lin Ying-Jian. "Decomposition of Variational Measure and the Arc-Length of a Curve in ℝn." Real Anal. Exchange 27 (2) 673 - 682, 2001/2002.

Information

Published: 2001/2002
First available in Project Euclid: 2 June 2008

zbMATH: 1080.28004
MathSciNet: MR1923157

Subjects:
Primary: 26A39 , 28A80

Keywords: absolutely continuous , arc-length , Hausdorff measure , singular , variational measure

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 2 • 2001/2002
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