  This paper is devoted to characterizing the analytic Campanato spaces
$\mathcal{AL}_{p,\eta}$ (including the analytic Morrey spaces, the analytic
John-Nirenberg space, and the analytic Lipschitz/H\"older spaces) on the
complex unit disk $\mathbb D$ in terms of the M\"obius mapping and the
Littlewood-Paley form, and consequently their compositions with the analytic
self-maps of $\mathbb D$.
