Schrödinger group and function spaces

Let θ∈R, 1≤p<+∞ and consider the Schrödinger group U(t)=eitΔ. In this study, our main goal is to investigate the space Epθ of distributions f on Rn that satisfysupt>0⁡[tθ‖U(t)(f)‖p]<+∞ and their relation with the standard Besov spaces. We also prove some results related to the Schrödinger equation.