A characterization of spaces of homogeneous type induced by continuous ellipsoid covers of ${\mathbb{R}}^n$

Marcin Bownik, Baode Li, Tal Weissblat

We study the relationship between the concept of a continuous ellipsoid $\Theta$ cover of ${\mathbb{R}}^n$, which was introduced by Dahmen, Dekel, and Petrushev, and the space of homogene…