no. G12
Article de recherche - Analyse fonctionnelle, Théorie des opérateurs
Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space
[Factorisation des opérateurs de Hankel, inclusion des images des opérateurs de Toeplitz et de Hankel sur l’espace de Hardy à valeurs vectorielles]
Bhuia, Sudip Ranjan1
1Indian Statistical Institute, Statistics and Mathematics Unit, 8th Mile, Mysore Road, Bangalore, 560 059, India
Comptes Rendus. Mathématique, Tome 362 (2024) no. G12, pp. 1773-1778

Using Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces.

En utilisant le théorème de Douglas sur la factorisation impliquée par l’inclusion des images de deux opérateurs linéaires bornés, nous donnons la factorisation des opérateurs de Hankel quand il y a inclusion des images de deux opérateurs de Hankel ou de Toeplitz définis sur des espaces de Hardy à valeur vectorielle.

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Révisé le :
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DOI : 10.5802/crmath.680
Classification : 47A56, 47A63, 47A68, 47B20, 47B35
Keywords: Toeplitz operators, Hankel operators, Hardy space, inner functions, Douglas Lemma, factorization, majorization
Mots-clés : Opérateurs de Toeplitz, opérateurs de Hankel, espace de Hardy, fonctions intérieures, lemme de Douglas, factorisation, majorisation

Bhuia, Sudip Ranjan  1

1 Indian Statistical Institute, Statistics and Mathematics Unit, 8th Mile, Mysore Road, Bangalore, 560 059, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Factorization of {Hankel} operators, range inclusion of {Toeplitz} and {Hankel} operators on the vector-valued {Hardy} space},
     journal = {Comptes Rendus. Math\'ematique},
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Bhuia, Sudip Ranjan. Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space. Comptes Rendus. Mathématique, Tome 362 (2024) no. G12, pp. 1773-1778. doi: 10.5802/crmath.680

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