A note on the Lebesgue differentiation theorem in spaces of homogeneous type
type: Item
instance of: scholarly article
title: A note on the Lebesgue differentiation theorem in spaces of homogeneous type
zbMATH Open document ID: 1087.28001
published in: Real Analysis Exchange
publication date: 2005-03-07T00:00:00Z
review text: Let \(X\) be a space of homogeneous type in the sense of Coifman and Weiss. The aim of the paper is to prove that if \(X\) is a space of homogeneous type such that the balls are subspaces of homogeneous type and \(f\) is a locally integrable function then almost every point of \(X\) is a Lebesgue point of the function \(f\).
reviewed by: Leszek Skrzypczak
Mathematics Subject Classification ID: 28A15
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 2141353
zbMATH Keywords: spaces of homogeneous type
zbMATH Keywords: Lebesgue points
author: Ricardo Toledano
MaRDI profile type: Publication
full work available at URL: realanalexch.29.1.0335
OpenAlex ID: W1517628758
DOI: 10.14321/REALANALEXCH.29.1.0335
description: scientific article; zbMATH DE number 2141353