Corona Theorem for $H^{\infty}$ on Coverings of Riemann Surfaces of Finite Type

Alexander Brudnyi

arxiv: math/0702801 · v1 · submitted 2007-02-26 · 🧮 math.CV · math.FA

Corona Theorem for H^(infty) on Coverings of Riemann Surfaces of Finite Type

Alexander Brudnyi This is my paper

classification 🧮 math.CV math.FA

keywords coronafiniteriemanntheoremtypealgebraboundedcaratheodory

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In this paper continuing our work started in our earlier papers we prove the corona theorem for the algebra of bounded holomorphic functions defined on an unbranched covering of a Caratheodory hyperbolic Riemann surface of finite type.

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Corona Theorem for H^(infty) on Coverings of Riemann Surfaces of Finite Type

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