Mixed norm Strichartz-type estimates for hypersurfaces in three dimensions

In their work Ikromov and Müller (Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra. Princeton University Press, Princeton, 2016) proved the full range
Lp − L2 Fourier restriction estimates for a very general class of hypersurfaces in R 3 which includes the class of real analytic hypersurfaces. In this article we partly extend their results
to the mixed norm case where the coordinates are split in two directions, one tangential and the other normal to the surface at a fixed given point. In particular, we resolve completely
the adapted case and partly the non-adapted case. In the non-adapted case the case when the linear height hlin (φ) is below two is settled completely.