On projection from A^p_ω to the Hardy spaces H^p

2025/02/28 by Jerbashian, Armen, Restrepo, Joel E.
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2502.21237

Abstract

This paper describes the known results on the projection from the most general holomorphic spaces A^p_ω, which depend on a functional parameter ω 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_ω to the half-plane Hardy space H^p is obtained.

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