Communications on Pure & Applied Analysis · 2012 · 17 citations · 5 references
Geometric InterpolationEngineeringInterpolation SpacePotential TheoryPower WeightsWeighted Trace InequalitiesSymmetric FunctionsMultivariate ApproximationFunctional AnalysisVariational InequalityTrace InequalitiesApproximation TheoryRadial Basis Function
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in $\mathbb{R}^n \times \mathbb{R}_+$ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.
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