On Projection from $$A^P_\Omega$$ to the Hardy Spaces $$H^p$$

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.