Generalized Strichartz Inequalities for the Wave Equation

We make a synthetic exposition of the generalized Strichartz inequalities for the wave equation obtained in [6] together with the limiting cases recently obtained in [13] with as simple proofs as possible. The proofs combine stationary phase estimates, dyadic decompositions, the Hardy-Littlewood inequality or the Hِlder inequality in time, and abstract duality and interpolation arguments.