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2000/2001 A Proof for the Fundamental Theorem of Calculus Using Hausdorff Measures
Constantin Volintiru
Real Anal. Exchange 26(1): 381-390 (2000/2001).

Abstract

This note contains a proof of the Fundamental Theorem of Calculus for the Lebesque-Bochner integral using Hausdorff measures (see 2.4). For the real case $(X=\mathbb{R})$, this proof uses only the basics from the Lebesque integral theory (see 2.6).

Citation

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Constantin Volintiru. "A Proof for the Fundamental Theorem of Calculus Using Hausdorff Measures." Real Anal. Exchange 26 (1) 381 - 390, 2000/2001.

Information

Published: 2000/2001
First available in Project Euclid: 2 January 2009

zbMATH: 1017.26011
MathSciNet: MR1825516

Subjects:
Primary: 26A21 , 28B16

Keywords: fundamental theorem of calculus , Haussdorf measures

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 1 • 2000/2001
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