Abstract
We prove that the Lebesgue differentiation theorem holds in the general setting of spaces of homogeneous type if the balls are subspaces of homogeneous type.
Citation
R. Toledano. "A note on the Lebesgue differentiation theorem in spaces of homogeneous type.." Real Anal. Exchange 29 (1) 335 - 340, 2003-2004.
Information
Published: 2003-2004
First available in Project Euclid: 9 June 2006
zbMATH: 1087.28001
MathSciNet: MR2061315
Subjects:
Primary:
58C99
Keywords:
differentiation of integrals
,
spaces of homogeneous type
Rights: Copyright © 2003 Michigan State University Press
