Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces $F_{\alpha }^{\infty ,q}$

Abstract

We continue to develop a theory of (Besov and) Triebel--Lizorkin spaces associated with weighted subcoercive operators on a real connected Lie group, focusing on the Triebel--Lizorkin space $F_{\alpha }^{\infty ,q}(\beta )$, which requires a more technical treatment.

arXiv comment26 pages, no figures