Reflexivity of Toeplitz operators in multiply connected regions
Volume 142 / 2016
Colloquium Mathematicum 142 (2016), 83-97
MSC: Primary 47L80; Secondary 47L05, 47L45.
DOI: 10.4064/cm142-1-4
Abstract
Subspaces of Toeplitz operators on the Hardy spaces over a multiply connected region in the complex plane are investigated. A universal covering map of such a region and the group of automorphisms invariant with respect to the covering map connect the Hardy space on this multiply connected region with a certain subspace of the classical Hardy space on the disc. We also present some connections of Toeplitz operators on both spaces from the reflexivity point of view.
