most citedFunction Spaces on Uniformly Regular and Singular Riemannian Manifolds

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math.DG2025★ 1 cited

Function Spaces on Uniformly Regular and Singular Riemannian Manifolds

Herbert Amann

This paper shows that the basic properties of Sobolev, Besov, and Bessel potential spaces are valid on Riemannian manifolds with boundary, which either have bounded geometry or pos…

math.FA2011

Function Spaces on Singular Manifolds

Herbert Amann

It is shown that most of the well-known basic results for Sobolev-Slobodeckii and Bessel potential spaces, known to hold on bounded smooth domains in , continue to be…