Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space

• DOI: 10.3934/math.20231175
• Publication Date: 2023-07-20T10:30:38Z
• Authors: Munirah Aljuaid; Mahmoud Ali Bakhit
• Keywords: Unit disk; Harmonic; Composition operator; Operator (biology); Bloch space

<abstract><p>This research paper sought to characterize the boundedness and compactness of composition operators from space $ \mathcal{H}^{\infty} bounded harmonic mappings into Zygmund \mathcal{Z}_H $, on open unit disk. Furthermore, we obtain an estimate essential norms such operator. These results extends similar that were proven for analytic function spaces.</p></abstract>