Topological Hausdorff dimension and Poincaré inequality

• C.A. DiMarco ^[1]
  1. [1] 1000E. Henrietta Rd., Mathematics Department, Monroe Community CollegeRochester, NY14623, USA
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 37, Nº 2, 2022, págs. 211-221
• Idioma: inglés
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• Resumen

  • 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.