Besov spaces and Bessel potential spaces on certain groups

DOI10.3792/pjaa.67.6zbMath0737.43009OpenAlexW2094305778MaRDI QIDQ1178759

Hitoshi Ombe

Publication date: 26 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.6

zbMATH Keywords

Besov spacesembedding theoremsinterpolation methodBessel potential spaceslocally compact, non-compact, Abelian topological groupnon-compact Vilenkin group

Mathematics Subject Classification ID

Analysis on specific locally compact and other abelian groups (43A70)

Related Items

Multipliers on weighted function spaces over locally compact vilenkin groups ⋮ Weighted Triebel‐Lizorkin Spaces on Locally Compact Vilenkin Groups ⋮ Besov spaces and Bessel potential spaces on certain groups

Cites Work

• Bernstein's theorem and translation invariant operators
• Besov spaces and Bessel potential spaces on certain groups
• Multipliers of \(H^p\) spaces
• Harmonic functions, Riesz potentials, and the Lipschitz spaces of Herz
• A local version of real Hardy spaces
• Harmonic analysis on \(n\)-dimensional vector spaces over local fields. III: Multipliers
• Fourier Analysis on Local Fields. (MN-15)
• Homogeneous Besov spaces on locally compact Vilenkin groups
• Temperatures, Bessel Potentials and Lipschitz Spaces
• Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz
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