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

2022/04/21 by Sarah Koppensteiner, Koppensteiner, Sarah, Jordy Timo van Velthoven +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2204.10110

openalex publication_date 2022/04/21 · openalex created_date 2022/04/26 · openalex updated_date 2026/07/28

Abstract

Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces F^α_p,q 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^α_∞,q.

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