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