On projection from $A^p_\omega$ to the Hardy spaces $H^p$

Armen Jerbashian; Joel E. Restrepo

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arXiv · 2502.21237

On projection from $A^p_\omega$ to the Hardy spaces $H^p$

Armen Jerbashian·Joel E. Restrepo

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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 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 $A^p_\omega$ to the half-plane Hardy space $H^p$ is obtained.

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BibTeX RIS

Armen Jerbashian, Joel E. Restrepo. 2025-02-28. On projection from $A^p_\omega$ to the Hardy spaces $H^p$. https://arxiv.org/abs/2502.21237

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