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.

Bibliographic Details
Main Authors: Job Bonyo, David Ambogo, Effie Oyugi
Format: Article
Language:English
Published: Emrah Evren KARA 2023-09-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/3149252