Resumen de Strichartz inequalities with weights in Morrey-Campanato classes

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.