Dilation Properties for Weighted Modulation Spaces
نویسندگان
چکیده
منابع مشابه
Dilation Properties for Weighted Modulation Spaces
In this paper we give a sharp estimate on the norm of the scaling operator Uλf(x) = f(λx) acting on the weighted modulation spaces M s,t (R). In particular, we recover and extend recent results by Sugimoto and Tomita in the unweighted case [15]. 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 cons...
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15 صفحه اولwavelets, modulation spaces and pseudidifferential operators
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The Dilation Property of Modulation Spaces and Their Inclusion Relation with Besov Spaces
We consider the dilation property of the modulation spaces M. Let Dλ : f(t) 7→ f(λt) be the dilation operator, and we consider the behavior of the operator norm ‖Dλ‖Mp,q→Mp,q with respect to λ. Our result determines the best order for it, and as an application, we establish the optimality of the inclusion relation between the modulation spaces and Besov space, which was proved by Toft [9].
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2012
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2012/145491