请输入您要查询的字词:

 

单词 SolutionOfTheLeviProblem
释义

solution of the Levi problem


The Levi problem is the problem of characterizing domains ofholomorphy by a local condition on the boundary that does not involveholomorphic functionsMathworldPlanetmath themselves. This condition turned out tobe pseudoconvexity.

Theorem.

An open set GCn is a domain of holomorphy ifand only if G is pseudoconvex.

The forward direction (domain of holomorphy implies pseudoconvexity) isnot hard to prove and was known for a long time. The opposite directionis really what’s called the solution to the Levi problem.

References

  • 1 Steven G. Krantz.,AMS Chelsea Publishing, Providence, Rhode Island, 1992.
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 8:52:10