On generalized Besov and Triebel-Lizorkin spaces of regular distributions

DOI10.1016/j.jfa.2013.03.012zbMath1291.46031arXiv1210.0795OpenAlexW1994527123MaRDI QIDQ393055

Hans-Gerd Leopold, António M. Caetano

Publication date: 16 January 2014

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

Full work available at URL: https://arxiv.org/abs/1210.0795

zbMATH Keywords

Triebel-Lizorkin spacesatomic decompositionsBesov spacesFourier seriesregular distributionsgeneralized smoothness

Mathematics Subject Classification ID

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

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Cites Work

• Local growth envelopes of Besov spaces of generalized smoothness
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• Complements on growth envelopes of spaces with generalized smoothness in the sub-critical case
• Characterisations of function spaces of generalised smoothness
• Local growth envelopes of Triebel--Lizorkin spaces of generalized smoothness
• Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces
• Spaces of Functions of Generalized Smoothness
• Function spaces of generalised smoothness
• Lacunary Taylor and Fourier series
• Bessel potentials with logarithmic components and Sobolev-type embeddings
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