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 -neighbourhoods of a general family of Besicovitch-Rado-Kinney (BRK) type sets associated with surfaces of rev…
math.CA2026
Level set estimates for strictly convex and hyperbolic functions
Xianghong Chen, Tongou Yang
In this note, we prove uniform upper bounds for the volume of the level set for strictly convex and hyperbolic functions …
math.CA2025
Improved packing of hypersurfaces in
Xianghong Chen, Tongou Yang, Yue Zhong
For , we construct a compact subset containing a -sphere of every radius between and , such that for every , the -ne…