  We consider the mass-subcritical nonlinear Schr\"odinger equation in all
space dimensions with focusing or defocusing nonlinearity. For such equations
with critical regularity $s_c\in(\max\{-1,-\frac{d}{2}\},0)$, we prove that any
solution satisfying $\|\, |x|^{|s_c|}e^{-it\Delta} u\|_{L_t^\infty L_x^2}
<\infty$ on its maximal interval of existence must be global and scatter.
