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Topological Hausdorff dimension and Poincaré inequality.

Authors :
DIMARCO, C. A.
Source :
Extracta Mathematicae; 2022, Vol. 37 Issue 2, p211-221, 11p
Publication Year :
2022

Abstract

A relationship between Poincaré inequalities and the topological Hausdor dimension is exposed|a lower bound on the dimension of Ahlfors regular spaces satisfying a weak (1; p)-Poincaré inequality is given. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
POINCARE maps (Mathematics)
TOPOLOGY
FRACTAL dimensions
METRIC spaces
CANTOR sets

Details

Language :
English
ISSN :
02138743
Volume :
37
Issue :
2
Database :
Complementary Index
Journal :
Extracta Mathematicae
Publication Type :
Academic Journal
Accession number :
167231143
Full Text :
https://doi.org/10.17398/2605-5686.37.2.211
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