Closed Range Composition Operators on BMOA

<p>Let φ be an analytic self-map of the unit disk D. The composition operator with symbol φ is denoted by Cφ. Reverse Carleson type conditions, counting functions and sampling sets are important tools to give a complete characterization of closed range composition operators on BMOA and on Qp for all p ∈ (0,∞). </p> <p>Let B denote the Bloch space, let H2 denote the Hardy space. We show that if Cφ is closed range on B or on H2 then it is also closed range on BMOA. Closed range composition operators Cφ : B → BMOA are also characterized. Laitila found the isometries among composition operators on BMOA. We extend this to Qp for all p ∈ (0, ∞). </p>

Name thesis:degree_name

Doctor of Philosophy in Mathematics (PhD)

Level thesis:degree_level

Dissertation

Year dc:date.available

2018

Author dc:creator

• Erdem, Kevser

Advisor dc:contributor.advisor

• Tjani, Maria

Contributors dc:contributor

• Harrington, Phillip S.
• Luecking, Daniel H.

• BMOA
• Closed Range Composition Operators
• Counting Functions
• Reverse Carleson Conditions
• Sampling Sets
• Numerical Analysis and Computation

Repository record dc:identifier

https://scholarworks.uark.edu/etd/2831

OAI identifier oai:identifier

oai:scholarworks.uark.edu:etd-4385