Year: 2026
Type: preprint
Abstract: We resolve an open problem posed by Frank--Loss. Let $n\ge 3$ and let $φ\in L^p(\mathbb{S}^n)$, with $\frac{n}{n-1}0 \Bigg\}, \end{equation*} and we obtain the following universal estimate \begin{equation*} \mathfrak{a}_n > \frac{n(n-2)}{4(n^2-3n+1)}, \end{equation*} which is enough for our aim. Determining the exact value of $\mathfrak{a}_n$ remains open.
Source: arXiv (Cornell University)
Authors: Wang, Guofang, Zhang, Mingwei
Institutions: University of Freiburg, Wuhan University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7214744017