Near-extremizers of Young's inequality for discrete groups

2011/12/16 by Marcos Charalambides, Michael Christ, Charalambides, Marcos +1 · 5 citations
Engineering · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Stability and Controllability of Differential Equations #math.CA

paper · pdf · doi:10.48550/arxiv.1112.3716

arxiv created 2011/12/16 · openalex publication_date 2011/12/16 · arxiv updated 2011/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Those functions which nearly extremize Young's convolution inequality are characterized for discrete groups which have no nontrivial finite subgroups. Near-extremizers of the Hausdorff-Young inequality are characterized for Z^d.

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• Near-extremizers of Young's Inequality for R^d
• On an extremization problem concerning Fourier coefficients

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