  We establish a priori estimates showing the propagation and generation of
$L^p$-norms for solutions to the non-cutoff spatially homogeneous Boltzmann
equation with soft potentials. The singularity of the collision kernel is key
to generate regularization and inhomogeneity in the energy estimates of the
$L^p$-norms. Our result extends \cite{Alo19} from the hard potential cases to
the soft ones.
