CONVEX FLOATING BODIES AS APPROXIMATIONS OF BERGMAN SUBLEVEL SETS ON TUBE DOMAINS

被引：0

作者：

Gupta, Purvi ^{[1
]}

机构：

[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 10期

关键词：

Tube domains; floating body; equiaffine invariant measures; BODY; KERNEL;

D O I：

10.1090/proc/13573

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a pseudoconvex tube domain, we prove estimates that relate the sublevel sets of its diagonal Bergman kernel to the floating bodies of its convex base. This allows us to associate a new affine invariant to any convex body.

引用

页码：4385 / 4396

页数：12

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