Powers and roots of Toeplitz operators
Langue
en
Article de revue
Ce document a été publié dans
Proceedings of the American Mathematical Society. 2006-11-29p. 1465-1475
American Mathematical Society
Résumé en anglais
We study the commutativity of two Toeplitz operators whose symbols are quasihomogeneous functions. We give a relationship between this commutativity and the roots (or powers) of the Toeplitz operators. We use this to ...Lire la suite >
We study the commutativity of two Toeplitz operators whose symbols are quasihomogeneous functions. We give a relationship between this commutativity and the roots (or powers) of the Toeplitz operators. We use this to characterize Toeplitz operators with symbols in $ L^{\infty}(\mathbb{D})$ which commute with Toeplitz operators whose symbols are of the form $ e^{ip\theta}r^m$.< Réduire
Mots clés en anglais
Toeplitz operators
Bergman space
Origine
Importé de halUnités de recherche