Let $D = B(0; 1)$ be the unit open ball in $\mathbb{C}$. Let $u: D \rightarrow \mathbb{R}$ be a continuous function such that $u$ is subharmonic in $D \setminus \{ 0 \}$. How to prove that $u$ is subharmonic in $D$?
Thank you!
Let $D = B(0; 1)$ be the unit open ball in $\mathbb{C}$. Let $u: D \rightarrow \mathbb{R}$ be a continuous function such that $u$ is subharmonic in $D \setminus \{ 0 \}$. How to prove that $u$ is subharmonic in $D$?
Thank you!