Growth Estimate of Composition Operator on Hilbert Space of Dirichlet Series

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Date

2024-09

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Addis Ababa University

Abstract

Motivated by a theorem of Gordon and Hedenalm (1), the study of composition operators acting on various scales of function spaces of Dirichlet series has arisen intensive interest. In this thesis, we characterize the composition operators in Hilbert space and growth estimate of the composition operator in Hilbert space of Dirichlet series.

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Keywords

Growth Estimate, Composition Operator, Hilbert Space, Dirichlet Series

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