The canonical injection of the Hardy-Orlicz space $H^{\mathrm{\Psi }}$ into the Bergman-Orlicz space ${\mathfrak{B}}^{\mathrm{\Psi }}$

We study the canonical injection from the Hardy-Orlicz space $H^{\mathrm{\Psi }}$ into the Bergman-Orlicz space ${\mathfrak{B}}^{\mathrm{\Psi }}$.