Approximation spaces, limiting interpolation and Besov spaces

With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions. Then we apply the reiteration formula and limiting interpolation to investigate several problems on Besov spaces, including embeddings in Lorentz–Zygmund spaces and distribution of F...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of approximation theory Jg. 189; S. 43 - 66
Hauptverfasser: Cobos, Fernando, Domínguez, Óscar
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.01.2015
Schlagworte:
Approximation spaces
Besov spaces
Fourier coefficients
Limiting real interpolation
Lorentz–Zygmund spaces
46E35
Limiting real interpolation
41A65
Approximation spaces
46M35
Lorentz–Zygmund spaces
42A16
Fourier coefficients
Besov spaces
46B70
ISSN:0021-9045, 1096-0430
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions. Then we apply the reiteration formula and limiting interpolation to investigate several problems on Besov spaces, including embeddings in Lorentz–Zygmund spaces and distribution of Fourier coefficients.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2014.09.002