Weighted $p(\cdot )$-Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications

L. A. Vallejos, R. E. Vidal

In this paper we will establish different weighted Poincaré inequalities with variable exponents on Carnot-Carathéodory spaces or Carnot groups. We will use different techniques to…