Systems of Dyadic Cubes of Complete, Doubling, Uniformly Perfect Metric Spaces without Detours

Autor:	Sasaya, Kôhei
Rok vydání:	2021
Předmět:	Mathematics - Metric Geometry Primary: 30L99 Secondary: 30L10
Druh dokumentu:	Working Paper
Popis:	Systems of dyadic cubes are the basic tools of harmonic analysis and geometry, and this notion had been extended to general metric spaces. In this paper, we construct systems of dyadic cubes of complete, doubling, uniformly perfect metric spaces, such that for any two points in the metric space, there exists a chain of three cubes whose diameters are comparable to the distance of the points. We also give an application of our construction to previous research of potential analysis and geometry of metric spaces. Comment: 15 pages, a figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.11696 Zobrazit plný text záznamu View this record from Arxiv