In this paper we obtain some new inhomogeneous Strichartz estimates for the fractional Schrödinger equation in the radial case. Then we apply them to the well-posedness theory for the equation i∂tu + |∇| α u = V (x, t)u, 1 < α < 2, with radialḢ γ initial data below L 2 and radial potentials V ∈ L r t L w x under the scaling-critical range α/r + n/w = α.2010 Mathematics Subject Classification. Primary: 35B45, 35A01; Secondary: 35Q40.
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