Dirichlet spaces, inner functions and isometric composition operators
Speaker:
Stamatis Pouliasis, Texas Tech University
Date and Time:
Thursday, July 15, 2021 - 11:00am to 11:50am
Location:
Online
Abstract:
We will talk about Dirichlet spaces D with superharmonic weights, of holomorphic functions on the unit disc and the Moebius invariant spaces M(D) generated by them. We will discuss the relation of the spaces M(D) with classical Moebius invariant spaces and describe some classes of inner functions contained in them. Also, we will describe the isometric composition operators on BMOA equipped with the Moebius invariant Hp norm, p∈[1,2]. The talk is partially based on joint works with G. Bao, J. Mashreghi, and H. Wulan.