Year: 2026
Type: preprint
Abstract: Let $M$ be a complete, non-compact Riemannian manifold. We prove that its Riesz transform is of weak type $(1,1)$, with constant $2$ for real-valued functions. Consequently, it is bounded on $L^p(M)$ for $1
Source: arXiv (Cornell University)
Authors: Chen, Rui, Jiang, Renjin, Li, Bo, Li, Hong-Quan
Institutions: Fudan University, Capital Normal University, Jiaxing University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G3075367507, G6915249523, G8847952484
OpenAlex ID: W7214007750