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Fourier Multipliers on Triebel-Lizorkin-Type Spaces
Joint Authors
Yuan, Wen
Yang, Dachun
Zhuo, Ciqiang
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-37, 37 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-26
Country of Publication
Egypt
No. of Pages
37
Main Subjects
Abstract EN
The authors study the mapping properties of Fourier multipliers, with symbols satisfying some generalized Hörmander's condition, on Triebel- Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces.
To this end, the authors first establish a new characterization of these spaces via some generalized (weighted) gλ∗ functions, which essentially improves the known result for Triebel-Lizorkin spaces even when τ=0.
Applying this new characterization, the authors then obtain the boundedness of Fourier multipliers on Triebel-Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces, which also give a new proof of the Sobolev embedding theorems for these spaces.
American Psychological Association (APA)
Yang, Dachun& Yuan, Wen& Zhuo, Ciqiang. 2012. Fourier Multipliers on Triebel-Lizorkin-Type Spaces. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-37.
https://search.emarefa.net/detail/BIM-994220
Modern Language Association (MLA)
Yang, Dachun…[et al.]. Fourier Multipliers on Triebel-Lizorkin-Type Spaces. Journal of Function Spaces No. 2012 (2012), pp.1-37.
https://search.emarefa.net/detail/BIM-994220
American Medical Association (AMA)
Yang, Dachun& Yuan, Wen& Zhuo, Ciqiang. Fourier Multipliers on Triebel-Lizorkin-Type Spaces. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-37.
https://search.emarefa.net/detail/BIM-994220
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994220