Topological Hausdorff dimension and Poincaré inequality

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C.A. DiMarco

Abstract

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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How to Cite
DiMarco, C. (2022). Topological Hausdorff dimension and Poincaré inequality. Extracta Mathematicae, 37(2), 211-221. https://doi.org/10.17398/2605-5686.37.2.211
Section
Topology

References

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