Minxing Shen

works on

curved kakeya problems 1 Hausdorff dimension 1 incidence geometry 1 projective geometry of paths 1 spray geometry 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.CA2026

Curved Kakeya problems and the projective geometry of paths

Shaoming Guo, Larry Guth, Arian Nadjimzadah +2

The paper develops a general framework for curved Kakeya problems using spray geometry and the projective geometry of paths, characterizing when Wolff's hairbrush argument applies…

math.FA2025

The Spherical Maximal Operators on Hyperbolic Spaces

Peng Chen, Minxing Shen, Yunxiang Wang +1

In this article we investigate $L^{p}$ boundedness of the spherical maximal operator $m^{I^} \pm$ of (complex) order $I^\pm$ on the $n$ -dimensional hyperbolic space $H^{n}$ ,…

math.CA2025

$L^{p} \to L^{q}$ estimates for Stein's spherical maximal operators

Naijia Liu, Minxing Shen, Liang Song +1

In this article we consider a modification of the Stein's spherical maximal operator of complex order $I^\pm$ on $R^{n}$ : $$ {\mathfrak M}^Î±_{[1,2]} f(x) =\sup\limits_{t\in […

Curved Kakeya problems and the projective geometry of paths

The Spherical Maximal Operators on Hyperbolic Spaces

Lp→Lq estimates for Stein's spherical maximal operators

$L^{p} \to L^{q}$ estimates for Stein's spherical maximal operators