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

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

2007-02-26

arxiv.org/abs/math/0702801v1

Mathematics

Complex Variables

18 pages

Scientific paper

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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