Ces\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane
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.
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Emrah Evren KARA
2023-09-01
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Series: | Communications in Advanced Mathematical Sciences |
Subjects: | |
Online Access: | https://dergipark.org.tr/tr/download/article-file/3149252 |
Summary: | 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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ISSN: | 2651-4001 |