Inequalities for Lp Mixed Intersection Bodies

doi:10.13371/j.cnki.chin.q.j.m.2018.02.006

Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (2): 156-165.doi: 10.13371/j.cnki.chin.q.j.m.2018.02.006

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Inequalities for L_p Mixed Intersection Bodies

School of Mathematics and Computational Science, Hunan University of Science and Technology. Department of Mathematics, Tongji University.

Accepted:2015-11-15 Online:2018-06-30 Published:2020-10-09
About author:LIU Li-juan(1980-), female, Hailun, Heilongjiang, a lecturer of Hunan University of Science and Technology, Ph.D., engages in convex geometry; WANG Wei(1982-), male, Qiyang, Hunan, an associate professor of Hunan University of Science and Technology, Ph.D., engages in convex geometry.
Supported by:
Supported by the Natural Science Foundation of Hunan Province(2017JJ3085+16C0635)； Supported by the China Postdoctoral Science Foundation(2016M601644)；

Abstract

Abstract: Haberl and Ludwig defined the notions of L_p intersection bodies. In this paper,we introduce the L_p mixed intersection bodies, and establish some geometric inequalities for L_p mixed intersection bodies. Furthermore, the Busemann-Petty type problem for L_p mixed intersection bodies are shown.

Key words: Star body, Radial function, L_p , mixed intersection bodies, L_p , Cosine transform

CLC Number:

O174
O178

LIU Li-juan, WANG Wei. Inequalities for L_p Mixed Intersection Bodies[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 156-165.

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Inequalities for L_p Mixed Intersection Bodies

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