Hp–Hq estimates for dispersive equations and related applications ✩

This paper studies the Hp–Hq estimates of the solutions for a class of dispersive equations under the assumption that principal operators are homogeneous elliptic and the corresponding level hypersurfaces are convex and of finite type. These estimates allow us to show higher order Schrödinger operator generates a fractionally integrated group in Lp(Rn). © 2009 Elsevier Inc. All rights reserved.