Young's restricted quantum unique ergodicity conjecture for holomorphic cusp forms

Let $\psi\colon \mathbb{R}^+ \to \mathbb{R}$ be a smooth compactly supported function, and let $f(z)$ run over $L^2$-normalized holomorphic Hecke cusp forms of weight $k$. Young's restricted quantum unique ergodicity conjecture.

$$\lim_{k\to \infty} \int_0^\infty y^{k} |f(iy)|^2 \psi(y) \frac{dy}{y} = \frac{3}{\pi} \int_0^\infty \psi(y)\frac{dy}{y}.$$

This is a quantum unique ergodicity statement restricted to the vertical geodesic through $i$; unlike the corresponding unrestricted QUE results, the conjecture concerns the mass of holomorphic cusp forms along a lower-dimensional geodesic segment and its status is not resolved in the supplied source.