Juan Antonio Barceló Varcárcel, Jonathan M. Bennett, Anthony Carbery, María de la Cruz Vilela Bendaña
We prove some weighted refinements of the classical Strichartz inequalities for initial data in the Sobolev spaces $H^s (R^n)$. We control the weighted $L^2$ �norm of the solution of the free Schrödinger equation when the weight is in a Morrey�Campanato type space adapted to that equation. Our partial positive results are complemented by some necessary conditions based on estimates for certain particular solutions of the free Schrödinger equation.
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