Author

D. Zanin

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Preprint Aug 2026

Isometric embeddings of noncommutative $L_p$-spaces into noncommutative symmetric spaces

We establish a noncommutative version of a familiar Johnson--Maurey--Schechtman--Tzafriri Theorem, by showing that for any $0<p<2$ and a (not necessarily semifinite) von Neumann algebra $\mathcal{M}$ on a separable Hilbert space, if a symmetric quasi-Banach function space $E(0,1) $ containing the function $t\mapsto t^{...

Jing-Hao Huang, M. Junge, F. Sukochev et al. · 0 citations

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