Browsing by Subject "Haar frames"

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    Haar frame characterizations of Besov–Sobolev spaces and optimal embeddings into their dyadic counterparts
    (Springer, 2023) Garrigós Aniorte, Gustavo Adolfo; Seeger, Andreas; Ullrich, Tino; Matemáticas
    We study the behavior of Haar coefficients in Besov and Triebel-Lizorkin spaces on R , for a parameter range in which the Haar system is not an unconditional basis. First, we obtain a range of parameters, extending up to smoothness s<1, in which the spaces F(s,p,q) and B(s,p,q) are characterized in terms of doubly oversampled Haar coefficients (Haar frames). Secondly, in the case that 1/p