LIPSCHITZ STAR BODIES*

doi:10.1007/s10473-023-0208-2

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (2): 597-607.doi: 10.1007/s10473-023-0208-2

LIPSCHITZ STAR BODIES^*

Youjiang Lin¹, Yuchi Wu^2,3,†

1. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;
2. School of Mathematics science, East China Normal University, Shanghai 200241, China;
3. Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, Shanghai 200241, China

收稿日期:2021-09-18 修回日期:2022-01-10 出版日期:2023-03-25 发布日期:2023-04-12
通讯作者: †Yuchi Wu, E-mail: wuyuchi1990@126.com
作者简介:Youjiang Lin, E-mail: yjl@ctbu.edu.cn
基金资助:
The first author was supported by the NSFC (11971080, KJQN202000838) and the funds of the Basic and Advanced Research Project of CQ CSTC (cstc2018jcyjAX0790, cstc2020jcyj-msxmX0328). The second author was supported by Project funded by the China Postdoctoral Science Foundation (2019TQ0097) and the Science and Technology Commission of Shanghai Municipality (22DZ2229014).

LIPSCHITZ STAR BODIES^*

Youjiang Lin¹, Yuchi Wu^2,3,†

1. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;
2. School of Mathematics science, East China Normal University, Shanghai 200241, China;
3. Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, Shanghai 200241, China

Received:2021-09-18 Revised:2022-01-10 Online:2023-03-25 Published:2023-04-12
Contact: †Yuchi Wu, E-mail: wuyuchi1990@126.com
About author:Youjiang Lin, E-mail: yjl@ctbu.edu.cn
Supported by:
The first author was supported by the NSFC (11971080, KJQN202000838) and the funds of the Basic and Advanced Research Project of CQ CSTC (cstc2018jcyjAX0790, cstc2020jcyj-msxmX0328). The second author was supported by Project funded by the China Postdoctoral Science Foundation (2019TQ0097) and the Science and Technology Commission of Shanghai Municipality (22DZ2229014).

摘要/Abstract

摘要： In this paper, we study some basic properties on Lipschitz star bodies, such as the equivalence between Lipschitz star bodies and star bodies with respect to a ball, the equivalence between the convergence of Lipschitz star bodies with respect to Hausdorff distance and the convergence of Lipschtz star bodies with respect to radial distance, and the convergence of Steiner symmetrizations of Lipschitz star bodies.

关键词: Steiner symmetrization, star body, Lipschitz function

Abstract: In this paper, we study some basic properties on Lipschitz star bodies, such as the equivalence between Lipschitz star bodies and star bodies with respect to a ball, the equivalence between the convergence of Lipschitz star bodies with respect to Hausdorff distance and the convergence of Lipschtz star bodies with respect to radial distance, and the convergence of Steiner symmetrizations of Lipschitz star bodies.

Key words: Steiner symmetrization, star body, Lipschitz function

Youjiang Lin, Yuchi, Wu. LIPSCHITZ STAR BODIES^*[J]. 数学物理学报(英文版), 2023, 43(2): 597-607.

Youjiang Lin, Yuchi, Wu. LIPSCHITZ STAR BODIES^*[J]. Acta mathematica scientia,Series B, 2023, 43(2): 597-607.

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LIPSCHITZ STAR BODIES^*

LIPSCHITZ STAR BODIES^*

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