Weighted $p(\cdot)$-Poincar\'e and Sobolev inequality]{Weighted $% p(\cdot )$-Poincar\'{e} and Sobolev inequalities for vector fields satisfiying H\"{o}rmander's condition and applications. (arXiv:2209.01241v1 [math.AP]) http://arxiv.org/abs/2209.01241