- Communications in Advanced Mathematical Sciences
- Cilt: 6 Sayı: 3
- Ces\\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane
Ces\\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane
Authors : Effie Oyugi, Job Bonyo, David Ambogo
Pages : 128-134
Doi:10.33434/cams.1298613
View : 44 | Download : 34
Publication Date : 2023-09-17
Article Type : Research
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.Keywords : Ces\\`{a}ro-type operator, Generator, One-parameter semigroup, Resolvent, Spectrum