Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

摘要

Let m ? N and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces W-m,W-f(R-n). As applications, we established a compact Sobolev embedding on domain and a Landau-Kolmogorov-type inequality in generalized Orlicz spaces. And we introduced the Sobolev f-capacity and studied some of its properties.

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