Yong Jiao

collaborators

2 papers

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 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 p…

math.FA2026

Sharp Fractional Riesz Estimates on the Hypercube

Yong Jiao, Sijie Luo, Dmitriy Zanin +1

Let $Ω_{n} = {- 1, 1}^{n}$ be the $n$ -dimensional hypercube equipped with the normalized uniform measure, let $\nabla$ be the Walsh gradient and let $Δ$ be the Walsh Laplacian. For eve…