Year: 2026
Type: preprint
Abstract: We study the parabolic maximal operator $M_{\textrm{par}}$ along the moment curve $(t,t^2)$. In 1988, Christ proved that $M_{\textrm{par}}$ maps the parabolic Hardy space $H_{\textrm{par}}^1(\mathbb R^2)$ into $L^{1,\infty}(\mathbb R^2)$. We show that this result is sharp at $p=1$: for every $0
Source: arXiv (Cornell University)
Authors: Han, Yongsheng, Hu, Bingyang
Institution: Auburn University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7169752328