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Let $U\subseteq \mathbb{C}$ be an open set and let $u(z)=-\log(\mathrm{dist}(z,\partial U))$.

I need to show that $u$ is subharmonic on $U$?

$\partial U$ it means the boundary of $U$.

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    So, your question is whether you need to show that $u$ is subharmonic on $U$? Well, *I* don't know what it is you need to show or not show.2011-03-04
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    so it was a mistake2011-03-04
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    sorry about this i need to know how can i prove that u is subharmonic on U2011-03-04

2 Answers 2