Sudan Xing

activity

20172026

most citedThe dual Orlicz-Minkowski problem

1 citations · 2 across the 6 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.FA2026

Fixed Point Rigidity of the Operator $Γ_{p} Π_{p}^{*}$ and the LYZ Conjecture

Youjiang Lin, Sudan Xing

Motivated by the recent approach of Milman, Shabelman, and Yehudayoff \cite{MilmanShabelmanYehudayoff2025}, we establish, for $p > 1$ , a complete characterization of the fixed points…

math.FA2022

On Multiple $L_{p}$ -curvilinear-Brunn-Minkowski inequalities

Michael Roysdon, Sudan Xing

We construct the extension of the curvilinear summation for bounded Borel measurable sets to the $L_{p}$ space for multiple power parameter $α ˉ = (α_{1}, \dots, α_{n + 1})$ when $p > 0$ .…

math.FA2021

On the framework of $L_{p}$ summations for functions

Michae Roysdon, Sudan Xing

We develop the framework of $L_{p}$ operations for functions by introducing two primary new types $L_{p, s}$ summations for $p > 0$ : the $L_{p, s}$ convolution sum and the $L_{p, s}$ Aspl…

math.FA2020★ 1 cited

Geometry of log-concave functions: the $L_{p}$ Asplund sum and the $L_{p}$ Minkowski problem

Niufa Fang, Sudan Xing, Deping Ye

The aim of this paper is to develop a basic framework of the $L_{p}$ theory for the geometry of log-concave functions, which can be viewed as a functional "lifting" of the $L_{p}$ Brun…

math.FA2020

On $L_{p}$ -Brunn-Minkowski type and $L_{p}$ -isoperimetric type inequalities for general measures

Michael Roysdon, Sudan Xing

In 2011 Lutwak, Yang and Zhang extended the definition of the $L_{p}$ -Minkowski convex combination ( $p \geq 1$ ) introduced by Firey in the 1960s from convex bodies containing the ori…

Fixed Point Rigidity of the Operator Γp​Πp∗​ and the LYZ Conjecture

On Multiple Lp​-curvilinear-Brunn-Minkowski inequalities

On the framework of Lp​ summations for functions

Geometry of log-concave functions: the Lp​ Asplund sum and the Lp​ Minkowski problem

On Lp​-Brunn-Minkowski type and Lp​-isoperimetric type inequalities for general measures

Fixed Point Rigidity of the Operator $Γ_{p} Π_{p}^{*}$ and the LYZ Conjecture

On Multiple $L_{p}$ -curvilinear-Brunn-Minkowski inequalities

On the framework of $L_{p}$ summations for functions

Geometry of log-concave functions: the $L_{p}$ Asplund sum and the $L_{p}$ Minkowski problem

On $L_{p}$ -Brunn-Minkowski type and $L_{p}$ -isoperimetric type inequalities for general measures