Rough Singular Integrals and Marcinkiewicz Integrals on Product Spaces, with $H^1$ Characterizations on Product Spheres
Year: 2026
Type: preprint
Abstract: We prove the $L^p(\mathbb R^n\times\mathbb R^m)$ boundedness of the rough product singular integral $T_Ω$, its maximal truncation $T_Ω^*$, and the product Marcinkiewicz integral $μ_Ω$ for $1
Source: arXiv (Cornell University)
Authors: Chen, Jiecheng, Fan, Dashan, Hu, Weitao, Wang, Meng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G5803381251, G7025268907, G7231830444
OpenAlex ID: W7214724463