Sharpness of some properties of Wiener amalgam and modulation spaces

By Elena Cordero, Fabio Di Nicola. 2008

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We prove sharp estimates for the dilation operator $f(x)\longmapsto f(\lambda x)$, when acting on Wiener amalgam spaces $W(L^p,L^q)$. Scaling arguments are also used to prove the sharpness of the known convolution and pointwise relations for modulation spaces $M^{p,q}$, as well as the optimality of an estimate for the Schr\"odinger propagator on modulation spaces.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0f1ef5b2f46182ce8c662e886173b6f0751795a7