Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts

Gustavo Garrigós, Andreas Seeger, Tino Ullrich

We study the behavior of Haar coefficients in Besov and Triebel-Lizorkin spaces on $\mathbb{R}$, for a parameter range in which the Haar system is not an unconditional basis. First…