Reflexivity of Toeplitz operators in multiply connected regions

Wojciech Młocek; Marek Ptak

Colloquium Mathematicae (2016)

  • Volume: 142, Issue: 1, page 83-97
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Wojciech Młocek, and Marek Ptak. "Reflexivity of Toeplitz operators in multiply connected regions." Colloquium Mathematicae 142.1 (2016): 83-97. <http://eudml.org/doc/283967>.

@article{WojciechMłocek2016,
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.},
author = {Wojciech Młocek, Marek Ptak},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {83-97},
title = {Reflexivity of Toeplitz operators in multiply connected regions},
url = {http://eudml.org/doc/283967},
volume = {142},
year = {2016},
}

TY - JOUR
AU - Wojciech Młocek
AU - Marek Ptak
TI - Reflexivity of Toeplitz operators in multiply connected regions
JO - Colloquium Mathematicae
PY - 2016
VL - 142
IS - 1
SP - 83
EP - 97
AB - 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.
LA - eng
UR - http://eudml.org/doc/283967
ER -

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