Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications
Authors:
- Wen Yuan,
- Dorothee D. Haroske,
- Susana D. Moura,
- Leszek Skrzypczak,
- Dachun Yang
Abstract
In this paper, the authors prove some Franke-Jawerth embedding for the Besov-type spaces Bp,qs,τ(Rn) and the Triebel-Lizorkin-type spaces Fp,qs,τ(Rn). By using some limiting embedding properties of these spaces and the Besov-Morrey spaces Nu,p,qs(Rn), the continuity envelopes in Bp,qs,τ(Rn), Fp,qs,τ(Rn) and Nu,p,qs(Rn) are also worked out. As applications, the authors present some Hardy type inequalities in the scales of Bp,qs,τ(Rn), Fp,qs,τ(Rn) and Nu,p,qs(Rn), and also give the estimates for approximation numbers of the embeddings from Bp,qs,τ(Ω), Fp,qs,τ(Ω) and Nu,p,qs(Ω) into C(Ω), where Ω denotes the unit ball in Rn.
- Record ID
- UAMde42a2a6e5a443f3a2573140aadf28d3
- Author
- Journal series
- Journal of Approximation Theory, ISSN 0021-9045
- Issue year
- 2015
- Vol
- 192
- Pages
- 306-335
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.1016/j.jat.2014.12.006 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 30
- Score source
- journalList
- Score
- Publication indicators
- = 9; = 14; : 2015 = 1.295; : 2015 (2 years) = 0.921 - 2015 (5 years) =0.836
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMde42a2a6e5a443f3a2573140aadf28d3/
- URN
urn:amu-prod:UAMde42a2a6e5a443f3a2573140aadf28d3
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.