Tangent measures of non-doubling measures
type: Item
instance of: scholarly article
title: Tangent measures of non-doubling measures
zbMATH Open document ID: 1246.28004
DOI: 10.1017/S0305004111000818
author: Tuomas Orponen
author: Tuomas Sahlsten
published in: Mathematical Proceedings of the Cambridge Philosophical Society
publication date: 2012-05-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1105.2531
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 6033597
zbMATH Keywords: Non-doubling measure
zbMATH Keywords: tangent measure
MaRDI profile type: Publication
Wikidata QID: Q109996603
arXiv ID: 1105.2531
cites work: Porosities and dimensions of measures
cites work: Q4328334
cites work: Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
cites work: Porosity, -porosity and measures
review text: The concept of tangent measures was introduced by D. Preiss in order to solve an old conjecture on rectifiability and densities. In this paper, the authors construct a non-doubling (strongly singular) measure on the real line, all of whose tangent measures are equivalent to the Lebesgue measure.
reviewed by: Denis R. Bell
description: scientific article; zbMATH DE number 6033597