Abstract:In this paper we obtain some results about a class of functions $\rho : \Omega \rightarrow R_+$, where $\Omega $ is an open set of $R^n$, which are related to the distance function from a fixed subset $S_\rho \subset \partial \Omega $. We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function $\rho $.
Keywords: weight functions, weighted Sobolev spaces
AMS Subject Classification: 46E35