On projection from $A_{\omega }^p$ to the Hardy spaces $H^p$

Abstract

This paper describes the known results on the projection from the most general holomorphic spaces $A_{\omega }^p$, which depend on a functional parameter $\omega$ and are over the unit disc, 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 $A_{\omega }^p$ to the half-plane Hardy space $H^p$ is obtained.