Hong-Qiang Wang

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2026

Stability of Fourier Restriction for a Class of Finite Type Surfaces in $R^{3}$

Wenjuan Li, Hongqiang Wang, Huiju Wang

We establish the stability of the optimal non-endpoint Fourier restriction range under smooth flat perturbations of curved-root surfaces in $R^{3}$ . Specifically, we consider…

math.CA2026

Endpoint weighted Fourier estimate with vanishing spherical trace

Wenjuan Li, Manli Song, Hongqiang Wang +1

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…

math.CA2026

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

Wenjuan Li, Hongqiang Wang, Huiju Wang

In this article we study the analog of Kakeya needle problem for $(n - 1)$ -rectifiable sets in $R^{n}$ and construct the related Nikodym type sets. The novelty of our approach…

Stability of Fourier Restriction for a Class of Finite Type Surfaces in R3

Endpoint weighted Fourier estimate with vanishing spherical trace

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

Stability of Fourier Restriction for a Class of Finite Type Surfaces in $R^{3}$

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