Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1

We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it is completely continuous. This result is strong...

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Bibliographic Details
Main Author: Ali Abkar
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2023/8415328