Minxing Shen

activity

20192026

collaborators

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3 papers · 1 filter

math.CA2026

Curved Kakeya problems and the projective geometry of paths

Shaoming Guo, Larry Guth, Arian Nadjimzadah +2

We introduce a general framework for curved Kakeya problems in $R^{n}$ , encompassing those arising from Hörmander-type oscillatory integrals. Every family of curves determin…

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 $α$ on $R^{n}$ : $$ {\mathfrak M}^α_{[1,2]} f(x) =\sup\limits_{t\in [1,…

math.CA2023

On smoothing estimates for Schrödinger equations on product spaces $T^{m} \times R^{n}$

Xianghong Chen, Zihua Guo, Minxing Shen +1

Let $Δ_{T^{m} \times R^{n}}$ denote the Laplace-Beltrami operator on the product spaces $T^{m} \times R^{n}$ . In this article we show that $$ \left\|e^{it…

Curved Kakeya problems and the projective geometry of paths

Lp→Lq estimates for Stein's spherical maximal operators

On smoothing estimates for Schrödinger equations on product spaces Tm×Rn

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

On smoothing estimates for Schrödinger equations on product spaces $T^{m} \times R^{n}$