Let $\Omega$ be a bounded domain of $\mathbb{C}^n$ and $f$ be a holomorphic function defined on $\Omega$.
Is it possible that $L^2$-norm of $f$ is bounded but $f$ itself is unbounded?
Let $\Omega$ be a bounded domain of $\mathbb{C}^n$ and $f$ be a holomorphic function defined on $\Omega$.
Is it possible that $L^2$-norm of $f$ is bounded but $f$ itself is unbounded?