The Caffarelli-Kohn-Nirenberg Inequalities on Metric Measure Spaces

Autor:	Tokura, Willian Isao, Adriano, Levi, Xia, Changyu
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry 53C21 35R01 31C12 53C24
Druh dokumentu:	Working Paper
Popis:	In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Caffarelli-Kohn-Nirenberg inequality with same exponent n(n>1), then it has exactly n-dimensional volume growth. As application, we obtain geometric and topological properties of Alexandrov space, Riemannian manifold and Finsler space which support a Caffarelli-Kohn-Nirenberg inequality. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1711.04836 Zobrazit plný text záznamu View this record from Arxiv