Year: 2024
Type: preprint
Abstract: The goal of this note is to provide an alternative proof of Theorem 1.1 (i) in [4], that is, if $n\geq 2$ and $M^α$ is bounded on $L^{p}(\mathbb{R}^{n})$ for some $α\in \mathbb{C}$ and $p\geq 2$, then we have \begin{align*} \operatorname{Re} α\geq \max\left\{\frac{1-n}{2}+\frac{1}{p},\frac{1-n}{p}\right\}. \end{align*}
Source: arXiv (Cornell University)
Author: Zhang, Feng
Institution: Xiamen University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394906261