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Commutants of composition operators on the Hardy Space of the disk
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Dissertation
Commutants of composition operators on the Hardy Space of the disk
2013
Overview
The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbols. In particular, we show in Chapter 5 that the commutant of the semigroup of operators is in one-to-one correspondence with a Banach albegra of bounded analytic functions on an open half-plane. This algebra of functions is a subalgebra of the standard Newton space. Chapter 4 extends previous work done on maps with interior fixed point to the case of the symbol of the composition operator having a boundary fixed point.
Publisher
ProQuest Dissertations & Theses
Subject
ISBN
9781303317156, 130331715X
