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The Strong Naor--Schechtman Convolution Inequality on the Product of Cyclic Groups
In this paper, we use martingale methods to resolve the convolution inequality problem posed by Naor and Schechtman in \cite[Question 6.1]{N-S2016} (see also \cite{Na2016}). More precisely, we establish the following strong convolution inequality on products of finite cyclic groups. For each $1<p<\i
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