Geodesic
Generalized Factorization in Hardy Spaces and the Commutant of Toeplitz Operators
Canadian journal of mathematics, Tome 55 (2003) no. 2, pp. 379-400

Voir la notice de l'article provenant de la source Cambridge University Press

Every classical inner function $\varphi$ in the unit disk gives rise to a certain factorization of functions in Hardy spaces. This factorization, which we call the generalized Riesz factorization, coincides with the classical Riesz factorization when $\varphi (z)\,=\,z$ . In this paper we prove several results about the generalized Riesz factorization, and we apply this factorization theory to obtain a new description of the commutant of analytic Toeplitz operators with inner symbols on a Hardy space. We also discuss several related issues in the context of the Bergman space.
DOI : 10.4153/CJM-2003-017-1
Mots-clés : 47B35, 30D55, 47A15 
Stessin, Michael; Zhu, Kehe. Generalized Factorization in Hardy Spaces and the Commutant of Toeplitz Operators. Canadian journal of mathematics, Tome 55 (2003) no. 2, pp. 379-400. doi: 10.4153/CJM-2003-017-1
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