作者clouddeep (早睡早起....有这麽难吗)
看板Math
标题[分析] 不等式
时间Wed May 18 12:27:25 2011
给定一个real valued函数f定义在C^n上
1)f is a strictly convex function of (log|z_1|,...log|z_n|)
2)f is invarient under the torus action (S^1)^n
3)f has a critical point
4)f is proper
则可以找到两个positive constants A, B > 0 s.t.
f(z_1 , ... , z_n) >= A log(|z_1|^2 + .... + |z_n|^2) - B
for all (z_1, ... , z_n) in (C-{0})^n.
希望各位能给一点提示或是相关资料可以参考^__^
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※ 编辑: clouddeep 来自: 123.195.205.194 (05/18 23:36)