Sobolev functions without compactly supported approximations

DOI10.2140/APDE.2022.15.1991OpenAlexW3019182154MaRDI QIDQ2688993

Giona Veronelli

Publication date: 6 March 2023

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10682

zbMATH Keywords

density problemsSobolev spaces on manifoldsCalderón-Zygmund inequalitiesmanifolds with unbounded geometry

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds ⋮ Some functional properties on Cartan-Hadamard manifolds of very negative curvature

Cites Work

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• Analysis of the Laplacian on a complete Riemannian manifold
• Sobolev spaces of differential forms and de Rham-Hodge isomorphism
• Covariant Schrödinger semigroups on Riemannian manifolds
• Sobolev spaces on Riemannian manifolds
• Higher order distance-like functions and Sobolev spaces
• Counterexamples to the \(L^p\)-Calderón-Zygmund estimate on open manifolds
• The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
• Essential self-adjointness of powers of generators of hyperbolic equations
• L^1-elliptic regularity and H = W on the whole L^p-scale on arbitrary manifolds
• Density problems on vector bundles and manifolds
• Riesz transform and related inequalities on non‐compact Riemannian manifolds
• Density Problems for second order Sobolev Spaces and Cut-off Functions on Manifolds With Unbounded Geometry

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