Projections in the Space H∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces

الأصل · EN

Let M be a non-compact connected Riemann surface of finite type, and R⊂⊂ M be a relatively compact domain such that H₁(M,)=H₁(R,). Let R R be a covering. We study the algebra H∞(U) of bounded holomorphic functions defined in some domains U⊂ R. Our main result is a Forelli type theorem on projections in H∞().