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

DOI10.1007/s00041-023-10013-7zbMath1526.46023arXiv2209.02630OpenAlexW4380853761MaRDI QIDQ6160011

Andreas Seeger, Gustavo Garrigós, Tino Ullrich

Publication date: 23 June 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02630

zbMATH Keywords

waveletsSobolev spacessplinesTriebel-Lizorkin spacesBesov spacesHaar systemdyadic versions of function spacesHaar frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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