Abstract
A complete version of Lebesgue's differentiation theorem, including the image of the exceptional set, is proved in an elementary way.
Citation
Claude-Alain Faure. "The Lebesgue differentiation theorem via the rising sun lemma.." Real Anal. Exchange 29 (2) 947 - 951, 2003-2004.
Information
Published: 2003-2004
First available in Project Euclid: 7 June 2006
zbMATH: 1076.26004
MathSciNet: MR2083829
Subjects:
Primary:
26A24
Secondary:
26A48
Keywords:
Lebesgue's differentiation theorem
,
monotonic functions
Rights: Copyright © 2003 Michigan State University Press
