Sobolev theorems for cusp manifolds

DOI10.4171/ZAA/1491zbMath1310.53030OpenAlexW2167854290MaRDI QIDQ380258

Chunpeng Wang, Juergen Eichhorn

Publication date: 13 November 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1491

zbMATH Keywords

weighted Sobolev spacesinjectivity radiusfinite volumeembedding theoremsopen manifolds

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integration on manifolds; measures on manifolds (58C35) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• The manifold structure of maps between open manifolds
• Sobolev spaces on Riemannian manifolds
• Spaces of Riemannian metrics on open manifolds
• Scattering theory for the Laplacian on manifolds with bounded curvature
• The Module Structure Theorem for Sobolev Spaces on Open Manifolds
• Uniform structures of metric spaces and open manifolds

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