Dilation properties for weighted modulation spaces

Details Dilation properties for weighted modulation spaces Dilation properties for weighted modulation spaces

2010-08-02

arxiv.org/abs/1008.0266v1

Mathematics

Functional Analysis

25 pages, 1 figure

Scientific paper

In this paper we give a sharp estimate on the norm of the scaling operator $U_{\lambda}f(x)=f(\lambda x)$ acting on the weighted modulation spaces $\M{p,q}{s,t}(\R^{d})$. 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 posedeness of the Cauchy problem for these equations. Finally, we provide new embedding results between modulation and Besov spaces.

Affiliated with

Also associated with

No associations

Rating

Dilation properties for weighted modulation spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dilation properties for weighted modulation spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dilation properties for weighted modulation spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52681