Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II

Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces F˙p,qα for the endpoint case of p= ∞ and the full scale of parameters α∈ R and q∈ (0 , ∞]. In particular, a Peetre-type characterization of the anisotropic Besov space B˙∞,∞α=F˙∞,∞α is obtained. As a consequence, it is shown that...