Dilation Properties for Weighted Modulation Spaces
Joint Authors
Cordero, Elena
Okoudjou, Kasso A.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-11
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
We give a sharp estimate on the norm of the scaling operator Uλf(x)=f(λx) acting on the weighted modulation spaces Ms,tp,q(ℝd).
In particular, we recover and extend recent results by Sugimoto and Tomita in the unweighted case.
As an application of our results, we estimate the growth in time of solutions of the wave and vibrating plate equations, which is of interest when considering the well-posedness of the Cauchy problem for these equations.
Finally, we provide new embedding results between modulation and Besov spaces.
American Psychological Association (APA)
Cordero, Elena& Okoudjou, Kasso A.. 2012. Dilation Properties for Weighted Modulation Spaces. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-994189
Modern Language Association (MLA)
Cordero, Elena& Okoudjou, Kasso A.. Dilation Properties for Weighted Modulation Spaces. Journal of Function Spaces No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-994189
American Medical Association (AMA)
Cordero, Elena& Okoudjou, Kasso A.. Dilation Properties for Weighted Modulation Spaces. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-994189
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994189