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✦   LIBER   ✦

Sobolev Spaces on Riemannian Manifolds

✍ Scribed by Emmanuel Hebey (auth.)

Book ID
127404208
Publisher
Springer
Year
1996
Tongue
English
Weight
390 KB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540699937

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Abstract Harmonic Analysis

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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 necessar