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Journals / Communications in Advanced Mathematical Sciences / 2023 / Cilt: 6 Sayı: 3

Ces\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane

Effie OYUGİ
Job BONYO
David AMBOGO
Pages
128–134
Publication Date
2023-09-17
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We then determine the spectral and norm properties of the obtained Ces\`{a}ro-type operator.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces.
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Key Findings & Data:We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces.
💡
Conclusion & Impact:We then determine the spectral and norm properties of the obtained Ces\`{a}ro-type operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ces\`{a}ro-type operator · Generator · One-parameter semigroup

Abstract

We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces. We then determine the spectral and norm properties of the obtained Ces\`{a}ro-type operator.

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Cite This Article

OYUGİ, E., BONYO, J., AMBOGO, D. (2023). Ces\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane. Communications in Advanced Mathematical Sciences, Cilt: 6 Sayı: 3, 128–134. https://ajindex.com/articles/962115

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