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

Journal article (2023)

Authors

Sarah Koppensteiner University of Vienna
J.T. van Velthoven Analysis - EEMCS
Felix Voigtlaender Katholische Universität Eichstätt - Ingolstadt
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2023 Sarah Koppensteiner, J.T. van Velthoven, Felix Voigtlaender
DOI: https://doi.org/10.1007/s00605-023-01824-3
More Info
expand_more

Published Date

2023

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.