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Powers and roots of Toeplitz operators
Language
en
Article de revue
This item was published in
Proceedings of the American Mathematical Society. 2006-11-29p. 1465-1475
American Mathematical Society
English Abstract
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 ...Read more >
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$.Read less <
English Keywords
Toeplitz operators
Bergman space
Origin
Hal imported