Geodesic
Reflexivity of Toeplitz operators in multiply connected regions
Wojciech Młocek1 ; Marek Ptak2
1 Institute of Mathematics University of Agriculture Balicka 253c 30-198 Kraków, Poland
2 Institute of Mathematics University of Agriculture Balicka 253c 30-198 Kraków, Poland and Institute of Mathematics Pedagogical University Podchorążych 2 30-084 Kraków, Poland
Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 83-97.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm142-1-4
Keywords: subspaces toeplitz operators hardy spaces multiply connected region complex plane investigated universal covering map region group automorphisms invariant respect covering map connect hardy space multiply connected region certain subspace classical hardy space disc present connections toeplitz operators spaces reflexivity point view

Wojciech Młocek 1 ; Marek Ptak 2

1 Institute of Mathematics University of Agriculture Balicka 253c 30-198 Kraków, Poland
2 Institute of Mathematics University of Agriculture Balicka 253c 30-198 Kraków, Poland and Institute of Mathematics Pedagogical University Podchorążych 2 30-084 Kraków, Poland 
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Wojciech Młocek; Marek Ptak. Reflexivity of Toeplitz operators in multiply connected regions. Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 83-97. doi : 10.4064/cm142-1-4. http://geodesic.mathdoc.fr/articles/10.4064/cm142-1-4/

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