The Radon-Nikodým Theorem for the Henstock integral in the Euclidean space

Ng Wee Leng; Lee Peng Yee

doi:rae/1337713149

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Home > Journals > Real Anal. Exchange > Volume 22 > Issue 2 > Article

1996/1997 The Radon-Nikodým Theorem for the Henstock integral in the Euclidean space

Ng Wee Leng, Lee Peng Yee

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Ng Wee Leng,¹ Lee Peng Yee¹
¹Mathematics Division

Real Anal. Exchange 22(2): 677-687 (1996/1997).

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Abstract

We prove the Radon-Nikodým theorem for the Henstock integral and hence give a complete characterization of the primitive of a Henstock integrable function in Euclidean space.

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Ng Wee Leng. Lee Peng Yee. "The Radon-Nikodým Theorem for the Henstock integral in the Euclidean space." Real Anal. Exchange 22 (2) 677 - 687, 1996/1997.

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Published: 1996/1997

First available in Project Euclid: 22 May 2012

zbMATH: 0941.26005

MathSciNet: MR1460980

Subjects:

Primary: 26A39

Keywords: (L)-condition , $ACG_{\Delta}$ , basic condition , Henstock integral , Radon-Nikodým theorem

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Real Anal. Exchange

Vol.22 • No. 2 • 1996/1997

Michigan State University Press

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Ng Wee Leng, Lee Peng Yee "The Radon-Nikodým Theorem for the Henstock integral in the Euclidean space," Real Analysis Exchange, Real Anal. Exchange 22(2), 677-687, (1996/1997)

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