Poincaré Inequalities for Mutually Singular Measures

Using an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.

Bibliographic Details
Main Author: Schioppa Andrea
Format: Article
Language:English
Published: De Gruyter 2015-02-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2015-0003
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author Schioppa Andrea
author_facet Schioppa Andrea
author_sort Schioppa Andrea
collection DOAJ
description Using an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.
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spelling doaj.art-4175fa1b404a4937bff5e3fcc12b6fca2022-12-21T17:16:07ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742015-02-013110.1515/agms-2015-0003agms-2015-0003Poincaré Inequalities for Mutually Singular MeasuresSchioppa Andrea0Swiss Federal Institute of Technology in Zurich (ETHZ) ZürichUsing an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.https://doi.org/10.1515/agms-2015-0003poincaré inequalitydifferentiable structure26d10
spellingShingle Schioppa Andrea
Poincaré Inequalities for Mutually Singular Measures
Analysis and Geometry in Metric Spaces
poincaré inequality
differentiable structure
26d10
title Poincaré Inequalities for Mutually Singular Measures
title_full Poincaré Inequalities for Mutually Singular Measures
title_fullStr Poincaré Inequalities for Mutually Singular Measures
title_full_unstemmed Poincaré Inequalities for Mutually Singular Measures
title_short Poincaré Inequalities for Mutually Singular Measures
title_sort poincare inequalities for mutually singular measures
topic poincaré inequality
differentiable structure
26d10
url https://doi.org/10.1515/agms-2015-0003
work_keys_str_mv AT schioppaandrea poincareinequalitiesformutuallysingularmeasures