The Normalized

In this paper, we introduce the normalized Lp mixed intersection body and demonstrate how the normalized Lp mixed intersection body operator can be used to obtain the polar body operator as a limit. Moreover, we study the Lp-Busemann-Petty type problem for the normalized Lp mixed intersection bodies.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-05-16
DOI
https://doi.org/10.1051/wujns/2025302125/pdf
Primary Topic
Point processes and geometric inequalities
Type
article
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article

The Normalized

Springer Link (Chiba Institute of Technology)
Point processes and geometric inequalities
article

The Normalized

article en

Abstract

In this paper, we introduce the normalized Lp mixed intersection body and demonstrate how the normalized Lp mixed intersection body operator can be used to obtain the polar body operator as a limit. Moreover, we study the Lp-Busemann-Petty type problem for the normalized Lp mixed intersection bodies.

Springer Link (Chiba Institute of Technology)
Reduced inequalities
Openalex Percentile: Top 18%
Point processes and geometric inequalities
DOISourceOpenAlex
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The Normalized · Springer Link (Chiba Institute of Technology) (2025) | TGRS Research Map | TGRS