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Plünnecke inequalities for measure graphs with applications
Published online by Cambridge University Press: 06 October 2015
Abstract
We generalize Petridis’s new proof of Plünnecke’s graph inequality to graphs whose vertex set is a measure space. Consequently, by a recent work of Björklund and Fish, this gives new Plünnecke inequalities for measure-preserving actions which enable us to deduce, via a Furstenberg correspondence principle, Banach density estimates in countable abelian groups that extend those given by Jin.
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- © Cambridge University Press, 2015