Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications

DOI10.1016/j.jfa.2022.109452zbMath1490.46028OpenAlexW4214877684MaRDI QIDQ2123103

Blanca F. Besoy, Fernando Cobos

Publication date: 8 April 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109452

zbMATH Keywords

approximation spacesmultiplication algebrasTriebel-Lizorkin-Lorentz spacesBesov-Lorentz spaces

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) General theory of topological algebras (46H05) Abstract interpolation of topological vector spaces (46M35)

Related Items

Interpolation inequalities in function spaces of Sobolev-Lorentz type ⋮ Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces

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