Abstract
It is shown that in the space ${\R}^{]0,1]}$ any function which is Lebesgue integrable with respect to Wiener measure is also Henstock integrable.
Citation
P. Muldowney. V. A. Skvortsov. "Lebesgue Integrability Implies Generalized Riemann Integrability in ℝ]0,1].." Real Anal. Exchange 27 (1) 223 - 234, 2001/2002.
Information
Published: 2001/2002
First available in Project Euclid: 6 June 2008
zbMATH: 1021.28011
MathSciNet: MR1887853
Subjects:
Primary:
26A39
,
28C20
,
46G12
Keywords:
Henstock integral
,
Lebesgue integral in infinite dimensions
,
Wiener measure
Rights: Copyright © 2001 Michigan State University Press
