a1 Department of Mathematics, University of Torino, Via Carlo Alberto 10, 10123 Torino, Italy (email: email@example.com)
a2 Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy (email: firstname.lastname@example.org)
We prove sharp estimates for the dilation operator f(x)⟼f(λx), when acting on Wiener amalgam spaces W(Lp,Lq). Scaling arguments are also used to prove the sharpness of the known convolution and pointwise relations for modulation spaces Mp,q, as well as the optimality of an estimate for the Schrödinger propagator on modulation spaces.
(Received September 04 2008)
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