Year: 2026
Type: preprint
Abstract: For an infinite connected locally finite undirected graph with positive symmetric edge weights and normalized Laplacian $Δ$, we prove weak type $(1,1)$ estimates for two Riesz transforms. The edge transform has universal constant $2$, with no volume assumption. The vertex carré-du-champ transform has constant $H_1+1$ whenever $H_1=\sup_x m(B(x,1))/m(x)<\infty$. These endpoint constants apply to real-valued inputs and yield strong $\ell^p$ bounds for $1
Source: arXiv (Cornell University)
Author: Wang, Zihao
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214365624