Extremal functions for real convex bodies

被引：3

作者：

Burns, Daniel M. ^{[1
]}

Levenberg, Norman ^{[2
]}

Ma'u, Sione ^{[3
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[3] Univ Auckland, Dept Math, Auckland 1142, New Zealand

来源：

ARKIV FOR MATEMATIK | 2015年 / 53卷 / 02期

关键词：

COMPLEX MONGE-AMPERE;

D O I：

10.1007/s11512-014-0207-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the smoothness of the Siciak-Zaharjuta extremal function associated to a convex body in . We also prove a formula relating the complex equilibrium measure of a convex body in (n >= 2) to that of its Robin indicatrix. The main tool we use is extremal ellipses.

引用

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页码：203 / 236

页数：34

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