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＜電子ブック＞
Sobolev Spaces on Riemannian Manifolds / by Emmanuel Hebey
(Lecture Notes in Mathematics. ISSN:16179692 ; 1635)

版	1st ed. 1996.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1996
大きさ	XII, 120 p : online resource
著者標目	*Hebey, Emmanuel author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Harmonic analysis FREE:Differential Geometry FREE:Abstract Harmonic Analysis
一般注記	Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries 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 HTTP:URL=https://doi.org/10.1007/BFb0092907

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