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Entropy of Sobolev embeddings of radial functions and radial eigenvalues of Schrödinger operators on isotropic manifolds
Author(s) -
Skrzypczak Leszek,
Tomasz Bernadeta
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410507
Subject(s) - sobolev space , mathematics , eigenvalues and eigenvectors , isotropy , sobolev inequality , schrödinger's cat , mathematical analysis , pure mathematics , physics , quantum mechanics
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)