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

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 $F<sup>{\infty,q}_α(β)$, which requires a more technical treatment.