![](/images/graphics-bg.png)
Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-47, 47 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-07
Country of Publication
Egypt
No. of Pages
47
Main Subjects
Abstract EN
We give characterizations for homogeneous and inhomogeneous Besov-Lizorkin-Triebel spaces (H.
Triebel 1983, 1992, and 2006) in terms of continuous local means for the full range of parameters.
In particular, we prove characterizations in terms of Lusin functions (tent spaces) and spaces involving the Peetre maximal function to apply the classical coorbit space theory according to Feichtinger and Gröchenig (H.
G Feichtinger and K.
Gröchenig 1988, 1989, and 1991).
This results in atomic decompositions and wavelet bases for homogeneous spaces.
In particular we give sufficient conditions for suitable wavelets in terms of moment, decay and smoothness conditions.
American Psychological Association (APA)
Ullrich, Tino. 2012. Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-47.
https://search.emarefa.net/detail/BIM-450901
Modern Language Association (MLA)
Ullrich, Tino. Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-47.
https://search.emarefa.net/detail/BIM-450901
American Medical Association (AMA)
Ullrich, Tino. Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-47.
https://search.emarefa.net/detail/BIM-450901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450901