Scattering for Short-Range Mass-Subcritical Choquard Equations

We study scattering for the defocusing inhomogeneous generalized Choquard equation with data in the conformal energy space. In the full short-range mass-subcritical regime, a key estimate for the nonlinear term yields scattering in $L^2$. A pseudoconformal argument in the compactified variables then gives scattering in $H^1$. In the homogeneous case, estimates based on the Galilean vector field further imply scattering in $\mathrm{\Sigma }$ above the Strauss threshold. The method avoids the additional algebraic restrictions arising from intermediate Strichartz-Sobolev estimates.