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The Hardy-Littlewood maximal inequality for hyperbolic groups.

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OGG - Operators, Graphs, Groups

he Hardy-Littlewood maximal inequality is a fundamental inequality for a maximal operator for an L^1 functions on Euclidean spaces.Naor-Tao gave an interesting geometric proof of the Hardy-Littlewood maximal inequality for a free group. I will explain that their argument applies to hyperbolic groups. This is a joint work with Amos Nevo. 

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