Affine Fractional Sobolev and Isoperimetric Inequalities

2022/07/13 by Haddad, Julián, Ludwig, Monika · 6 citations
#2020: 46E35 (Primary) 35R11 #52A40 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2207.06375

Abstract

Sharp affine fractional Sobolev inequalities for functions on \mathbb Rⁿ are established. For each 0

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• Affine chord Sobolev inequalities and radial mean bodies for functions
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• Affine fractional Lp Polya-Szego inequalities
• Higher-order affine Sobolev inequalities

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