General affine surface areas

被引：163
作者：
Ludwig, Monika [1 ]
机构：
[1] NYU, Polytech Inst, Dept Math, MetroTech Ctr 6, Brooklyn, NY 11201 USA
来源：
ADVANCES IN MATHEMATICS | 2010年 / 224卷 / 06期
关键词：
Aftine surface area; Centro-aftine surface area; Valuation; P SOBOLEV INEQUALITIES; MINKOWSKI-FIREY THEORY; ISOPERIMETRIC-INEQUALITIES; CONVEX HYPERSURFACES; STEPWISE APPROXIMATION; L-0-MINKOWSKI PROBLEM; VALUED VALUATIONS; BODIES; SEMICONTINUITY; REGULARITY;
D O I：
10.1016/j.aim.2010.02.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two families of general affine surface areas are introduced. Basic properties and affine isoperimetric inequalities for these new affine surface areas as well as for L phi affine surface areas are established. (C) 2010 Elsevier Inc. All rights reserved.
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收藏
页码：2346 / 2360
页数：15
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