Year: 2026
Type: preprint
Abstract: We prove a weak type $(1,1)$ estimate for maximal truncations of noncommutative rough singular integrals whose angular kernels satisfy the classical $L\log L$ integrability and cancellation conditions. The main ingredient of the proof is a new linearization method for handling the maximal truncations acting on the bad functions arising from the noncommutative Calderón--Zygmund decomposition.
Source: arXiv (Cornell University)
Authors: Cao, Junming, Li, Wei
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223811246