Sharp trace inequalities for fractional Laplacians

2011/05/20 by Amit Einav, Michael Loss, Einav, Amit +1
Computer Science · Mathematics · #35A23 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · doi:10.48550/arxiv.1105.4079

openalex publication_date 2011/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on Rⁿ and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb's sharp form of the Hardy-Littlewood-Sobolev inequality.

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