Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II
Sarah Koppensteiner (University of Vienna)
Jordy Timo van Velthoven (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Felix Voigtlaender (Katholische Universität Eichstätt - Ingolstadt)
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Abstract
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 there exist dual molecular frames and Riesz sequences in F˙∞,qα.
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