User:Avila.gas/Weighted Sobolev space

A weighted Sobolev space is a generalization of a Sobolev space by the introduction of a weighting function in the defining integral. They can serve many purposes, as a tool in the analysis of partial differential equations in non-compact manifolds or to deal with special boundaries.

In Rn
There are numerous conventions used to define the weight function. For the study of

sigma