Near-extremizers of Young's inequality for discrete groups

Marcos Charalambides; Michael Christ

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Near-extremizers of Young's inequality for discrete groups

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arxiv 1112.3716 v1 pith:YOUH3LX7 submitted 2011-12-16 math.CA

Marcos Charalambides , Michael Christ This is my paper · ORCID

classification math.CA

keywords inequalitycharacterizeddiscretegroupsnear-extremizersyoungconvolutionextremize

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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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