Abstract:
This paper describes the known results on the projection from the most general holomorphic spaces $A^p_\omega$, which depend on a functional parameter $\omega$ and are over the unit disk, upper half-plane, and the finite complex plane, to the classical Hardy spaces $H^p$. The paper can be considered as a survey in the mentioned topic. A new result on the projection of the half-plane $A^p_\omega$ to the half-plane Hardy space $H^p$ is obtained.
