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Results tagged with potential-theory
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user 5659
3
votes
Accepted
Subharmonic in any holomorphic coordinates = Plurisubharmonic?
It is actually enough to assume that your function $u$ defined on a neighborhood of $0\in \mathbb C^n$ remains subharmonic after composing with any linear transformation.
Indeed, let $0\neq \lambd …
- 2,727
1
vote
Accepted
Proof of a theorem in degenerate Monge Ampère equation by Vincent Guedj and Ahmed Zeriahi
On $B$, there is $\delta>0$ such that $P(h)\le h-\delta$. Next, pick a point $x\in B$ and choose a potential $\rho$ for $\omega$ on $B$ such that $\rho(x)=0$. By shrinking $B$, you can assume that $\s …
- 2,727