Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces

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.

Gespeichert in:
Bibliographische Detailangaben
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
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500018