Minxing Shen

activity

20192026

most citedA Boundedness Criterion for Singular Integral Operators of convolution type on the Fock Space

2 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.CA2026

On planar Nikodym-type sets

Alan Chang, Mingfeng Chen, Shaoming Guo +3

Nikodym constructed a measure-zero Borel set in the plane that contains a punctured line segment passing through each point in the unit square. Fenton and Falconer asked whether a…

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.FA2024

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 $m^{α}$ of (complex) order $α$ on the $n$ -dimensional hyperbolic space $H^{n}$ , w…

math.AP2023

Lp bounds for Stein's spherical maximal operators

Naijia Liu, Minxing Shen, Liang Song +1

Let $M^{α}$ be the spherical maximal operators of complex order $α$ on $R^{n}$ . In this article we show that when $n \geq 2$ , suppose \begin{eqnarray*} \|{\frak M}^α f…

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…

math.CV2021

Boundedness criterion for integral operators on the fractional Fock-Sobolev spaces

Guangfu Cao, Li He, Ji Li +1

We provide a boundedness criterion for the integral operator $S_{φ}$ on the fractional Fock-Sobolev space $F^{s, 2} (C^{n})$ , $s \geq 0$ , where $S_{φ}$ (introduced by Kehe Zhu) is g…

math.CV2019★ 2 cited

A Boundedness Criterion for Singular Integral Operators of convolution type on the Fock Space

Guangfu Cao, Ji Li, Minxing Shen +2

We show that for an entire function $φ$ belonging to the Fock space $F^{2} (C^{n})$ on the complex Euclidean space $C^{n}$ , the integral operator \begin{eqnar…