Estimates of n-widths of Sobolev's classes on compact globally symmetric spaces of rank one

dc.creatorBordin, B
dc.creatorKushpel, AK
dc.creatorLevesley, J
dc.creatorTozoni, SA
dc.date2003
dc.dateAUG 20
dc.date2014-11-16T13:23:30Z
dc.date2015-11-26T17:24:58Z
dc.date2014-11-16T13:23:30Z
dc.date2015-11-26T17:24:58Z
dc.date.accessioned2018-03-29T00:12:15Z
dc.date.available2018-03-29T00:12:15Z
dc.identifierJournal Of Functional Analysis. Academic Press Inc Elsevier Science, v. 202, n. 2, n. 307, n. 326, 2003.
dc.identifier0022-1236
dc.identifierWOS:000184377300001
dc.identifier10.1016/S0022-1236(02)00167-2
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/65619
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/65619
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/65619
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1284213
dc.descriptionEstimates of Kolmogorov's and linear n-widths of Sobolev's classes on compact globally symmetric spaces of rank 1 (i.e. on S-d, P-d(R), P-d(C), P-d(H), P-16(Cay)) are established. It is shown that these estimates have sharp orders in different important cases. New estimates for the (p,q)-norms of multiplier operators Lambda = {lambda(k)}(kis an element ofN) are given. We apply our results to get sharp orders of best polynomial approximation and n-widths. (C) 2002 Elsevier Inc. All rights reserved.
dc.description202
dc.description2
dc.description307
dc.description326
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Functional Analysis
dc.relationJ. Funct. Anal.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectn-width
dc.subjecttwo point homogeneous manifold
dc.subjectSobolev space
dc.subjectSpherical Harmonics
dc.titleEstimates of n-widths of Sobolev's classes on compact globally symmetric spaces of rank one
dc.typeArtículos de revistas


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