A PROOF OF THE FUNDAMENTAL THEOREM OF CALCULUS USING HAUSDORFF MEASURES

Volintiru

Type: Article

Publication Date: 2000-01-01

Citations: 14

DOI: https://doi.org/10.2307/44153170

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).

Locations

Real Analysis Exchange - View
Project Euclid (Cornell University) - View - PDF

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