Stability in the Shephard Problem for Lp-Projection of Convex Bodies

被引：0

作者：

LI Xinhong ^{[1
]}

MA Tongyi ^{[2
]}

机构：

[1] College of Mathematics and Statistics,Northwest Normal University

[2] College of Mathematics and Statistics,Hexi University

来源：

Wuhan University Journal of Natural Sciences | 2014年 / 19卷 / 04期

基金：

中国国家自然科学基金;

关键词：

stability; convex bodies; Lp-projections; Fourier transform;

D O I：

暂无

中图分类号：

O186.5 [积分几何];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the convex bodies associated with Lp-projections in the Brunn-Minkowski-Firey theory, and apply the Fourier analytic methods to prove the linear stability in the Shephard problem for Lp-projections of convex bodies.

引用

页码：283 / 288

页数：6

共 6 条

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[3] Modified Busemann-Petty problem on sections of convex bodies
Koldobsky, A.
Yaskin, V.
Yaskina, M.
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2006, 154 (1) : 191 - 207
[4] Projections of convex bodies and the Fourier transform
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Ryabogin, D
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[J]. ISRAEL JOURNAL OF MATHEMATICS, 2004, 139 (1) : 361 - 380
[5] The Brunn–Minkowski–Firey Theory II[J] . Erwin Lutwak.Advances in Mathematics . 1996 (2)
[6] Volumen und Oberfl?che[J] . Hermann Minkowski.Mathematische Annalen . 1903 (4)

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