Author

Si-Jie Luo

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Preprint Sep 2026

Sharp Fractional Riesz Estimates on the Hypercube

Let $\Omega_{n}=\{-1,1\}^n$ be the $n$-dimensional hypercube equipped with the normalized uniform measure, let $\nabla$ be the Walsh gradient and let $\Delta$ be the Walsh Laplacian. For every $1<p\leq 2$ we prove the following estimate \[ \|\nabla f\|_{L_p(\Omega_n;\ell_2^n)} \leq c_{{\rm abs}}(p-1)^{-2}\|\Delta^{1/p}...

Yong Jiao, Si-Jie Luo, D. Zanin et al. · 1 citation