Extension in generalized Orlicz--Sobolev spaces

Jonne Juusti

We study the existence of an extension operator $\Lambda :W^{1,\phi }(\Omega )\to W^{1,\psi }({\mathbb{R}}^n)$. We assume that $\phi \in {\Phi }_{\mathrm{w}}(\Omega )$ has generalized Orlicz growth, $ψ\in Φ_\mathrm{…