SIMC 2019

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http://hdl.handle.net/11071/10448

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Browsing SIMC 2019 by Subject "Analytic functions"

Now showing 1 - 3 of 3
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    Groups of composition operators on Dirichlet spaces of the upper half-plane
    (Strathmore University, 2019-08) Agwang, Meshack; Bonyo, Job; Okoth, Isaac
    Using the theory of similar semi groups, we undertake a complete analysis of groups SBS of composition operators on Dirichlet spaces. Specifically, we obtain both the semi group and spectral properties of groups of weighted composition operators implemented by automorphism groups of upper half—plane.
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    Reproducing Kernels for hardy and Bergman spaces of the upper half plane
    (Strathmore University, 2019-08) Bonyo, Job
    Using invertible isometries between Hardy and Bergman spaces of the unit disk D and the corresponding spaces of the upper half plane up, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of up. As a consequence, we obtain the duality relations for the reflexive Hardy and Bergman spaces of the half plane up.
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    Spectral properties of weighted composition semigroups on the Bloch space
    (Strathmore University, 2019-08) Mose, Samuel; Bonyo, Job; Okoth, Isaac
    We determine both the semigroup and spectral properties of a group of weighted SBS composition operators on the Little Bloch space. It turns out that these are strongly continuous groups of invertible isometries on the Bloch space. We then obtain the norm and spectra of the infinitesimal generator as well as the resulting resolvents which are given as integral operators. Using the spectral mapping theorem as well as the Hille Yosida theorem we obtain the spectral properties of the resulting integral operators.