Estimates for Unimodular Multipliers on Modulation Hardy Spaces
Joint Authors
Fan, Dashan
Sun, Lijing
Chen, Jiecheng
Zhang, Chunjie
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
It is known that the unimodular Fourier multipliers eit|Δ|α/2, α>0, are bounded on all modulation spaces Mp,qs for 1≤p,q≤∞.
We extend such boundedness to the case of all 0
As applications, we give the grow-up rate of the solution for the Cauchy problems for the free Schrödinger equation with the initial data in a modulation space, as well as some mixed norm estimates.
We also study the Mp1,qs→Mp2,qs boundedness for the operator eit|Δ|α/2, for the case 0<α≤2 and α≠1.
Finally, we investigate the boundedness of the operator eit|Δ|α/2 for α>0 and obtain the local well-posedness for the Cauchy problem of some nonlinear partial differential equations with fundamental semigroup eit|Δ|α/2.
American Psychological Association (APA)
Chen, Jiecheng& Fan, Dashan& Sun, Lijing& Zhang, Chunjie. 2013. Estimates for Unimodular Multipliers on Modulation Hardy Spaces. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-513424
Modern Language Association (MLA)
Chen, Jiecheng…[et al.]. Estimates for Unimodular Multipliers on Modulation Hardy Spaces. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-513424
American Medical Association (AMA)
Chen, Jiecheng& Fan, Dashan& Sun, Lijing& Zhang, Chunjie. Estimates for Unimodular Multipliers on Modulation Hardy Spaces. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-513424
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513424