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Entropy of Sobolev embeddings of radial functions and radial eigenvalues of Schrödinger operators on isotropic manifolds

✍ Scribed by Leszek Skrzypczak; Bernadeta Tomasz

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 292 KB
Volume: 280
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410507

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider Sobolev embeddings between Sobolev and Besov spaces of radial functions on noncompact symmetric spaces of rank one. An asymptotic behaviour of entropy numbers of the compact embeddings is described. The estimates are used for investigation of the negative spectrum of Schrödinger type operators. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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