Brennan's conjecture for composition operators on Sobolev spaces
Complex Variables
2013-02-15 v3
Abstract
We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plane domains to the unit disc.
Keywords
Cite
@article{arxiv.1212.3999,
title = {Brennan's conjecture for composition operators on Sobolev spaces},
author = {Vladimir Gol'dshtein and Alexander Ukhlov},
journal= {arXiv preprint arXiv:1212.3999},
year = {2013}
}
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8 pages