Duality of the no reflexive Bergman space of the upper half plane and composition groups
Date
2019-08
Authors
Omondi, Gori Erick
Bonyo, Job
Okoth, Isaac
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
We identify the predual of the non-reflexive Bergman space of the upper half plane,
with the little Bloch space of the upper half plane consisting of functions vanishing at
a point i. We then investigate both the semigroup and spectral properties of the adjoint
groups of composition operators which are naturally obtained from the duality pairing
and are therefore defined on the identified predual.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Non-reflexive Bergman space, Bloch space, Composition semigroup, Infinitesimal generator, Spectrum