Abstract

In unbounded subset ΩΩ in RnR^n we study the operator u→guu\rightarrow gu as an operator defined in the Sobolev space Wr,p(Ω)W^{r,p}(Ω) and which takes values in Lp(Ω)L^p(Ω). The functions gg belong to wider spaces of LpL^p connected with the Morrey type spaces. The main result is an embedding theorem from which we can deduce a Fefferman type inequality.

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