Estimates for Unimodular Multipliers on Modulation Hardy Spaces

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<p,q≤∞ and obtain its asymptotic estimate as t goes to infinity. As applications, we give the grow-up rate of the solution...

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Bibliographic Details
Main Authors: Jiecheng Chen, Dashan Fan, Lijing Sun, Chunjie Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/982753
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