Topological Hausdorff dimension and Poincaré inequality
DOI:
https://doi.org/10.17398/2605-5686.37.2.211Palabras clave:
Poincaré inequality, metric space, Cantor sets, topological dimension, Hausdorff dimension, bi-Lipschitz map, Ahlfors regularResumen
A relationship between Poincaré inequalities and the topological Hausdorff dimension is exposed—a lower bound on the dimension of Ahlfors regular spaces satisfying a weak (1, p)-Poincaré inequality is given.
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Referencias
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