Hardy inequalities with homogenuous weights
  In this paper we obtain some sharp Hardy inequalities with weight functions that may admit singularities on the unit sphere.   In order to prove the main results of the paper we use some recent sharp inequalities for the lowest eigenvalue of Schr\"odinger operators on the unit sphere obtaind in the paper [DEL]. 
Thomas Hoffmann-Ostenhof and Ari Laptev
math.AP