Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces

The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from Bp1,qt((0,1)d) into the space Lp2((0,1)d). The asymptotic behaviour of Bernstein numbers of the identity id:Sp1,p1tB((0,1)d)→Lp2((0,1)d) will be also considered.

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Bibliographic Details
Published inMathematische Nachrichten Vol. 288; no. 14-15; pp. 1694 - 1717
Main Author Nguyen, Van Kien
Format Journal Article
LanguageEnglish
Published Weinheim Blackwell Publishing Ltd 01.10.2015
Wiley Subscription Services, Inc
Subjects
41A25
Bernstein numbers
Besov spaces
function spaces of dominating mixed smoothness
nonlinear widths
s-numbers
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Summary:The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from Bp1,qt((0,1)d) into the space Lp2((0,1)d). The asymptotic behaviour of Bernstein numbers of the identity id:Sp1,p1tB((0,1)d)→Lp2((0,1)d) will be also considered.
Bibliography:ArticleID:MANA201500018
istex:451432FFEED2EFD47393157A449C55DCA3789866
ark:/67375/WNG-8NXQ9LQP-5
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500018