Corona Theorem for H^∞ on Coverings of Riemann Surfaces of Finite Type

2007/02/26 by Alexander Brudnyi, Brudnyi, Alexander
Mathematics · #30D15 #32F05 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CV #math.FA #msc:30D15 #msc:32F05

paper · pdf · doi:10.48550/arxiv.math/0702801

18 pages

arxiv created 2007/02/26 · arxiv updated 2009/12/01

Abstract

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.

Related

• Projections in the Space H^∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces
• Extension of Matrices with Entries in H^∞ on Coverings of Riemann Surfaces of Finite Type
• H^p-corona problem and convex domains of finite type
• Estimates for the Corona Theorem on H^∞_\mathbbI(\D)
• A Uniqueness Property for H^∞ on Coverings of Projective Manifolds