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A density result on Orlicz-Sobolev spaces in the plane
Tapio RajalaWalter A. Ortizsubject
Pure mathematicsMathematics::Functional AnalysisdensityPlane (geometry)Applied Mathematics010102 general mathematicsMathematics::Analysis of PDEsSobolev space01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsSobolev spacePlanarMathematics - Classical Analysis and ODEsOrlicz-Sobolev spaceBounded functionSimply connected spaceClassical Analysis and ODEs (math.CA)FOS: Mathematics46E350101 mathematicsfunktionaalianalyysiAnalysisMathematicsdescription
We show the density of smooth Sobolev functions $W^{k,\infty}(\Omega)\cap C^\infty(\Omega)$ in the Orlicz-Sobolev spaces $L^{k,\Psi}(\Omega)$ for bounded simply connected planar domains $\Omega$ and doubling Young functions $\Psi$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-07-14 |