$\max_y$ notation

Question

Simple question, but googling $\max_y$ is taking me off track. What does $\min_y$ mean here? The value of $y$ that minimizes the integral?

$$\mathscr{l}(b^\prime) \equiv \min_y \int_{-L}^L \mathscr{l}(\,\left|\,y-m\,\right|)\,dF(m)$$