  This document presents an elementary approach using $\varepsilon$-Poincar\'e
inequality to prove generation of $L^{p}$-bounds, $p\in(1,\infty)$, for the
homogeneous Landau equation with moderate soft potentials $\gamma\in[-2,0)$.
The critical case $\gamma=-2$ uses an interpolation approach in the realm of
Lorentz spaces and entropy. Alternatively, a direct approach using the
Hardy-Littlewood-Sobolev (HLS) inequality and entropy is also presented. On
this basis, the generation of pointwise bounds $p=\infty$ is deduced from a De
Giorgi argument.
