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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Veröffentlicht in:	Mathematische Nachrichten 2015-10, Vol.288 (14-15), p.1694-1717
1. Verfasser:	Nguyen, Van Kien
Format:	Artikel
Sprache:	eng
Schlagworte:	41A25 Bernstein numbers Besov spaces function spaces of dominating mixed smoothness nonlinear widths s-numbers
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description	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.
doi_str_mv	10.1002/mana.201500018
format	Article
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subjects	41A25 Bernstein numbers Besov spaces function spaces of dominating mixed smoothness nonlinear widths s-numbers
title	Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces
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