Remarks on the Unimodular Fourier Multipliers on α-Modulation Spaces
Joint Authors
Zhao, Guoping
Guo, Weichao
Chen, Jiecheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the boundedness properties of the Fourier multiplier operator eiμ(D) on α-modulation spaces Mp,qs,α (0≤α<1) and Besov spaces Bp,qs(Mp,qs,1).
We improve the conditions for the boundedness of Fourier multipliers with compact supports and for the boundedness of eiμ(D) on Mp,qs,α.
If μ is a radial function ϕ(|ξ|) and ϕ satisfies some size condition, we obtain the sufficient and necessary conditions for the boundedness of eiϕ(|D|) between Mp1,q1s1,α and Mp2,q2s2,α.
American Psychological Association (APA)
Zhao, Guoping& Chen, Jiecheng& Guo, Weichao. 2014. Remarks on the Unimodular Fourier Multipliers on α-Modulation Spaces. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1040610
Modern Language Association (MLA)
Zhao, Guoping…[et al.]. Remarks on the Unimodular Fourier Multipliers on α-Modulation Spaces. Journal of Function Spaces No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1040610
American Medical Association (AMA)
Zhao, Guoping& Chen, Jiecheng& Guo, Weichao. Remarks on the Unimodular Fourier Multipliers on α-Modulation Spaces. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1040610
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040610