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AuthorHebey, Emmanuel. author
TitleSobolev Spaces on Riemannian Manifolds [electronic resource] / by Emmanuel Hebey
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1996
Connect tohttp://dx.doi.org/10.1007/BFb0092907
Descript XII, 120 p. online resource

SUMMARY

Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds. Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results


CONTENT

Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries


Mathematics Harmonic analysis Differential geometry Mathematics Differential Geometry Abstract Harmonic Analysis



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