Mathematics Colloquium, CSU
Friday, April 13, 2012
3PM–4PM in RT 1516
Closed range composition operators on
Besov type spaces
Maria Tjani, University of Arkansas
Abstract. Let ϕ be a holomorphic self map of the unit disk D. Associate to ϕ the composition operator Cϕ defined by Cϕ f = f ◦ ϕ. If ϕ is
non-constant then Cϕ is a one-to-one linear operator that is bounded
on several spaces of holomorphic functions. We give necessary and sufficient conditions for the composition operator to have closed range on
Besov spaces and on Besov type spaces. We make connections between
Cϕ being closed range on Bloch type spaces and on Besov type spaces.
* Refreshments at 2:30 PM in RT 1517