Lipschitz Star Bodies

Authors：Lin, Youjiang; Wu, Yuchi^*

Source：Acta Mathematica Scientia, 2023, 43(2): 597-607.

DOI：10.1007/s10473-023-0208-2

• Steiner symmetrization
• star body
• Lipschitz function

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.