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arXiv · 1212.3999

Brennan's conjecture for composition operators on Sobolev spaces

Vladimir Gol'dshtein·Alexander Ukhlov
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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.

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Vladimir Gol'dshtein, Alexander Ukhlov. 2013-02-14. Brennan's conjecture for composition operators on Sobolev spaces. https://arxiv.org/abs/1212.3999

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