Sobolev-Lorentz spaces in the Euclidean setting and counterexamples

Serban Costea

This paper studies the inclusions between different Sobolev-Lorentz spaces $W^{1,(p,q)}(\Omega )$ defined on open sets $\Omega \subset {\mathbf{R}}^n,$ where $n\ge 1$ is an integer, $1<p<\inf…