Sobolev spaces on Lie groups: embedding theorems and algebra properties

DOI10.1016/j.jfa.2018.11.014zbMath1466.46024arXiv1804.10154OpenAlexW2964278643WikidataQ128847521 ScholiaQ128847521MaRDI QIDQ1732306

Marco M. Peloso, Anita Tabacco, Tommaso Bruno, Maria Vallarino

Publication date: 22 March 2019

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

Full work available at URL: https://arxiv.org/abs/1804.10154

zbMATH Keywords

Sobolev embeddingsLie groupsRiesz transformsSobolev algebras

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on other specific Lie groups (43A80) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (15)

Homogeneous algebras via heat kernel estimates ⋮ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups ⋮ On the Sobolev embedding properties for compact matrix quantum groups of Kac type ⋮ Besov and Triebel-Lizorkin spaces on Lie groups ⋮ Schrödinger operators on Lie groups with purely discrete spectrum ⋮ Local and non‐local Poincaré inequalities on Lie groups ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Pointwise multipliers for Triebel-Lizorkin and Besov spaces on Lie groups ⋮ Sobolev algebras on Lie groups and noncommutative geometry ⋮ On harmonic Hilbert spaces on compact abelian groups ⋮ Anisotropic Shannon inequality ⋮ Some remarks on \(L^1\) embeddings in the subelliptic setting ⋮ Fractional Laplacian, homogeneous Sobolev spaces and their realizations ⋮ The Sobolev embedding constant on Lie groups ⋮ Potential Spaces on Lie Groups

Cites Work

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• Algebra properties for Sobolev spaces -- applications to semilinear PDEs on manifolds
• Comparison of spaces of Hardy type for the Ornstein-Uhlenbeck operator
• The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
• Hardy spaces and bmo on manifolds with bounded geometry
• Algèbres de Sobolev sur certains groupes nilpotents
• Subelliptic estimates and function spaces on nilpotent Lie groups
• A local version of real Hardy spaces
• Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups
• Sobolev algebras on nonunimodular Lie groups
• Sobolev spaces on Riemannian manifolds
• Parabolic Harnack inequality for divergence form second order differential operators
• Spaces of Goldberg type on certain measured metric spaces
• Spectral multipliers for sub-Laplacians with drift on Lie groups
• Sobolev algebras on Lie groups and Riemannian manifolds
• Semi-Groups of Measures on Lie Groups
• H1 and BMO for certain locally doubling metric measure spaces
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Croissance polynomiale et périodes des fonctions harmoniques
• Sobolev spaces on graded Lie groups
• On the Littlewood-Paley-Stein g-Function
• Besov algebras on Lie groups of polynomial growth
• Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth
• Analysis on Lie groups
• Fractional powers of operators

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