An abstract version of Herz' imbedding theorem

zbMath0767.46032MaRDI QIDQ1192070

Stefano Meda, Rita Pini

Publication date: 27 September 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1991__86__37_0

zbMATH Keywords

Lipschitz spacesapproximate identityunimodular locally compact groupHerz's imbedding theoremLipschitz scale

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis in several variables (42B99) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Lipschitz spaces on compact Lie groups
• \(L^ p\) estimates for strongly singular integrals on spaces of homogeneous type
• On L(p,q) spaces
• A heat semigroup version of Bernstein's theorem on Lie groups
• Approximation and Besov Spaces on Stratified Groups
• Bernstein's theorem for compact, connected Lie groups
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