Article

Some inequalities for L_p radial Blaschke-Minkowski homomorphisms

Published in: Quaestiones Mathematicae
Volume 42 , issue 3 , 2019 , pages: 391–405

DOI: 10.2989/16073606.2018.1453884

Author(s): Bin Chen Department of Mathematics, China , Weidong Wang Department of Mathematics, China

Keywords: 52A20 , 52A40 , 52A39 , 52A20 , 52A40 , 52A39

Abstract

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 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 L_p radial Blaschke-Minkowski homomorphisms.

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