Algèbres de Sobolev sur certains groupes nilpotents

DOI10.1016/0022-1236(85)90091-6zbMath0574.22008OpenAlexW2028972224MaRDI QIDQ1063703

Georges Bohnke

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90091-6

zbMATH Keywords

Sobolev spaceBanach algebranilpotent Lie groupsublaplacianspectral synthesisstratified groups

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Nilpotent and solvable Lie groups (22E25) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (4)

Sobolev algebras on Lie groups and noncommutative geometry ⋮ Sobolev spaces on Lie groups: embedding theorems and algebra properties ⋮ Sobolev algebras through heat kernel estimates ⋮ Sobolev algebras on nonunimodular Lie groups

Cites Work

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• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Besov spaces and Sobolev spaces on a nilpotent Lie group
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On Certain Interpolation Spaces Related to Generalized Semi-Groups.
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• Approximation in L p by Solutions of Elliptic Partial Differential Equations

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