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arXiv:1003.5059 [math.FA]AbstractReferencesReviewsResources

Level sets and Composition operators on the Dirichlet space

O. El-Fallah, K. Kellay, M. Shabankhah, H. Youssfi

Published 2010-03-26Version 1

We consider composition operators in the Dirichlet space of the unit disc in the plane. Various criteria on boundedness, compactness and Hilbert-Schmidt class membership are established. Some of these criteria are shown to be optimal.

Journal: Journal of Functional Analysis (2011) to appear
Categories: math.FA, math.CA
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