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 s...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.展开更多
基金supported by the NSFC(11971080,KJQN202000838)the funds of the Basic and Advanced Research Project of CQ CSTC(cstc2018jcyj AX0790,cstc2020jcyj-msxm X0328)+1 种基金supported by Project funded by the China Postdoctoral Science Foundation(2019TQ0097)the Science and Technology Commission of Shanghai Municipality(22DZ2229014)。
文摘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.