An embedding result

Abstract

In unbounded subset $\Omega$ in $R^n$ we study the operator $u\to gu$ as an operator defined in the Sobolev space $W^{r,p}(\Omega )$ and which takes values in $L^p(\Omega )$. The functions $g$ belong to wider spaces of $L^p$ connected with the Morrey type spaces. The main result is an embedding theorem from which we can deduce a Fefferman type inequality.

6 pages