Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type
Joint Authors
Chen, Chuang
Li, Ji
Liao, Fanghui
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss, where the quasi-metric d may have no regularity and the measure μ satisfies only the doubling property.
Adapting the recently developed randomized dyadic structures of X and applying orthonormal bases of L2(X) constructed recently by Auscher and Hytönen, we develop the Besov and Triebel-Lizorkin spaces on such a general setting.
In this paper, we establish the wavelet characterizations and provide the dualities for these spaces.
The results in this paper extend earlier related results with additional assumptions on the quasi-metric d and the measure μ to the full generality of the theory of these function spaces.
American Psychological Association (APA)
Chen, Chuang& Li, Ji& Liao, Fanghui. 2014. Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1013598
Modern Language Association (MLA)
Chen, Chuang…[et al.]. Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1013598
American Medical Association (AMA)
Chen, Chuang& Li, Ji& Liao, Fanghui. Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1013598
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013598