Level sets and Composition operators on the Dirichlet space
Functional Analysis
2010-12-30 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1003.5059,
title = {Level sets and Composition operators on the Dirichlet space},
author = {O. El-Fallah and K. Kellay and M. Shabankhah and H. Youssfi},
journal= {arXiv preprint arXiv:1003.5059},
year = {2010}
}