Lp Dual Geominimal Surface Areas of Lp Radial Blaschke-Minkowski Homomorphisms [Lp径向Blaschke-Minkowski同态的Lp对偶几何表面积]

作者：Zhao X.; Wang W.D.^*

来源：Acta Mathematica Sinica (Chinese Series), 2020, 63(4): 409-416.

• Brunn-Minkowski inequality
• Busemann-Petty problem
• Lp dual geominimal surface area
• Lp radial Blaschke-Minkowski homomorphism

In 2006, Schuster introduced the concept of radial Blaschke-Minkowski homomorphisms. Afterwards, Wang et al. extended this notion to Lp radial Blaschke-Minkowski homomorphisms. In this paper, we establish some inequalities of Lp dual geominimal surface areas for Lp radial Blaschke-Minkowski homomorphisms, including the Brunn-Minkowski type and monotonic inequalities. And we give an affirmative form and a negative form of Busemann-Petty problem for Lp radial Blaschke-Minkowski homomorphisms.

• 单位
  三峡大学