Level sets and Composition operators on the Dirichlet space

Details Level sets and Composition operators on the Dirichlet space Level sets and Composition operators on the Dirichlet space

2010-03-26

arxiv.org/abs/1003.5059v1

Journal of Functional Analysis (2011) to appear

Mathematics

Functional Analysis

Scientific paper

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.

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