On sharper estimates of Ohsawa-Takegoshi L2-extension theorem

被引：5

作者：

Hosono, Genki ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2019年 / 71卷 / 03期

关键词：

Ohsawa-Takegoshi L-2 extension theorem; optimal estimate; complex Monge-Ampere equation; EXTENSION;

D O I：

10.2969/jmsj/80018001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an L-2-extension theorem with an estimate depending on the weight functions for domains in C. When the Hartogs domain defined by the weight function is strictly pseudoconvex, this estimate is strictly sharper than known optimal estimates. When the weight function is radial, we prove that our estimate provides the L-2-minimum extension.

引用

页码：909 / 914

页数：6

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