Tongou Yang

activity

20242026

collaborators

3 papers

math.CA2026

Sharp volume bounds for BRK-type sets of surfaces of revolution

Xianghong Chen, Tongou Yang

We prove sharp volume bounds (up to dimensional constants) for the $δ$ -neighbourhoods of a general family of Besicovitch-Rado-Kinney (BRK) type sets associated with surfaces of rev…

math.CA2025

Improved packing of hypersurfaces in $R^{d}$

Xianghong Chen, Tongou Yang, Yue Zhong

For $d \geq 1$ , we construct a compact subset $K \subseteq R^{d + 1}$ containing a $d$ -sphere of every radius between $1$ and $2$ , such that for every $δ \in (0, 1)$ , the $δ$ -ne…

math.CA2024

Construction of a curved Kakeya set

Tongou Yang, Yue Zhong

We construct a compact set in $R^{2}$ of measure 0 containing a piece of a parabola of every aperture between 1 and 2. As a consequence, we improve lower bounds for the $L^{p}$ …

Sharp volume bounds for BRK-type sets of surfaces of revolution

Improved packing of hypersurfaces in Rd

Construction of a curved Kakeya set

Improved packing of hypersurfaces in $R^{d}$