Sections and projections of \(L_p\)-zonoids and their polars
type: Item
instance of: scholarly article
title: Sections and projections of \(L_p\)-zonoids and their polars
zbMATH Open document ID: 1387.52017
author: Ai-Jun Li
author: Qingzhong Huang
author: Dongmeng Xi
published in: The Journal of Geometric Analysis
publication date: 2018-04-12T00:00:00Z
review text: The authors consider \(L_p\)-zonoids and their polars, as introduced by Schneider \(\&\) Weil, and thoroughly investigated by Lutwak et al. A series of papers by Ball, Barthe, \(\&\) Lutwak et al. provide sharp upper and lower estimates for the volumes of \(L_p\)-zonoids and their polars, under the assumption that their generating measure is even and isotropic. In this paper, the authors establish the sharp upper and lower bounds for the volume of \(k\)-dimensional projections (or sections) of \(L_p\)-zonoids and their polars, with even isotropic generating measures.
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 6859112
zbMATH Keywords: \(L_p\)-zonoid
zbMATH Keywords: section
zbMATH Keywords: projection
zbMATH Keywords: \(\ell_p^n\)-ball
zbMATH Keywords: polars
zbMATH Keywords: volume
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: s12220-017-9827-y
OpenAlex ID: W2606032568
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DOI: 10.1007/S12220-017-9827-Y
description: scientific article; zbMATH DE number 6859112