Temporo-spatial differentiations with respect to finite unions of balls

Abstract

Here we study temporo-spatial differentiation problems with respect to sequences of finite unions of balls. We establish several convergence results, as well as construct pathological temporo-spatial differentiations with prescribed sets of limit points. We also demonstrate the prevalence of certain pathological temporo-spatial differentiations in the presence of a specification-like property.

This article is derived from a chapter of the author's doctoral dissertation. This version corrects a few minor typos found in the first version