A note on composition operators on Hardy spaces of the polydisk

2006/07/13 by Turgay Bayraktar, Bayraktar, Turgay
Mathematics · #47B33 #47B38 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0607307

openalex publication_date 2006/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we prove that weak compactness of composition operator on H¹(Uⁿ) coincides with its compactness. We also characterize bounded and compact composition operators on H¹(Uⁿ).\

Citations

• The Essential Norm of a Composition Operator

Related

• Composition operators on the polydisc
• Difference of composition operators in the Polydiscs
• Approximation numbers of composition operators on the Hardy space of the infinite polydisk
• Compactification, and beyond, of composition operators on Hardy spaces\n by weights
• Topological structure of the space of composition operators on the Hardy space of Dirichlet series