Author

Wenjuan Li

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Preprint Oct 2026

Endpoint weighted Fourier estimate with vanishing spherical trace

We establish an endpoint weighted Fourier estimate under a vanishing restriction condition on the unit sphere. Let $n \geq 2$ and $p_c = 2(n+1)/(n+3)$. We prove that every $f \in L^{p_c}(\mathbb{R}^n)$ with zero spherical Fourier restriction satisfies $$ \left\| \bigl|1-|\xi|^2\bigr|^{-1/2}\widehat{f}(\xi) \right\|_{L^...

Wen-Juan Li, Man-Li Song, Hong-Qiang Wang et al. · 0 citations

Preprint Aug 2026

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Sets

In this article we study the analog of Kakeya needle problem for $(n-1)$-rectifiable sets in $\mathbb{R}^n$ and construct the related Nikodym type sets. The novelty of our approach lies in combining three ingredients: the two-dimensional Venetian blind-type construction for isometries in $\mathbb{R}^n$; the normal geom...

Wenjuan Li, Hongqiang Wang, Huiju Wang · 0 citations