An approach to wavelet isomorphisms of function spaces via atomic representations

DOI10.1007/s00041-017-9538-6zbMath1417.46024OpenAlexW2595043482WikidataQ57339717 ScholiaQ57339717MaRDI QIDQ1645278

Philipp Skandera, Hans Triebel, Haroske, Dorothee D.

Publication date: 28 June 2018

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

Full work available at URL: https://doi.org/10.1007/s00041-017-9538-6

zbMATH Keywords

Triebel-Lizorkin spacesatomic decompositionBesov spacesdoubling weightswavelet decomposition

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)

Related Items (7)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ Spline wavelet decomposition in weighted function spaces ⋮ Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces ⋮ Embeddings and characterizations of Lipschitz spaces ⋮ Wavelet decomposition and embeddings of generalised Besov-Morrey spaces ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights ⋮ Isomorphism in wavelets

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