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arxiv: 1212.3999 · v3 · pith:UY6QCJXQnew · submitted 2012-12-17 · 🧮 math.CV

Brennan's conjecture for composition operators on Sobolev spaces

classification 🧮 math.CV
keywords brennancompositionconjectureoperatorssobolevspacesboundednessconformal
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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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