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math.FA2026
The Strong Naor--Schechtman Convolution Inequality on the Product of Cyclic Groups
Yong Jiao, Sijie Luo, Dmitriy Zanin +1
In this paper, we 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…
math.FA2026
Sharp Fractional Riesz Estimates on the Hypercube
Yong Jiao, Sijie Luo, Dmitriy Zanin +1
Let be the -dimensional hypercube equipped with the normalized uniform measure, let be the Walsh gradient and let be the Walsh Laplacian. For eve…