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arXiv · 1003.5059

Level sets and Composition operators on the Dirichlet space

O. El-Fallah·K. Kellay·M. Shabankhah·H. Youssfi
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Abstract

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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O. El-Fallah, K. Kellay, M. Shabankhah, H. Youssfi. 2010-03-26. Level sets and Composition operators on the Dirichlet space. https://arxiv.org/abs/1003.5059

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