SOME INEQUALITIES FOR L_p RADIAL BLASCHKE-MINKOWSKI HOMOMORPHISMS

摘要

The notion of radial Blaschke-Minkowski homomorphisms was presented by Schuster. Afterwards, Wang et al. introduced L-p radial Blaschke-Minkowski homomorphisms. In this paper, associated with L-p-dual ane surface areas, we establish some inequalities including the Brunn-Minkowski type inequality, cyclic inequality and monotonic inequalities, and give an armative answer and a negative answer of Busemann-Petty problem for the L-p radial Blaschke-Minkowski homomorphisms.