Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers

DOI10.1016/j.jmaa.2015.10.007zbMath1347.42038OpenAlexW2189769344MaRDI QIDQ891443

Henning Kempka, Helena F. Gonçalves

Publication date: 17 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.007

zbMATH Keywords

Triebel-Lizorkin spacesatomic decompositionBesov spacespointwise multipliersvariable integrability2-microlocal spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (6)

Besov-type spaces of variable smoothness on rough domains ⋮ Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains ⋮ Franke–Jawerth embeddings for Besov and Triebel–Lizorkin spaces with variable exponents ⋮ Unnamed Item ⋮ On various approaches to Besov-type spaces of variable smoothness ⋮ Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces

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