Projections in the Space H∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces
نویسنده
چکیده
Let M be a non-compact connected Riemann surface of finite type, and R ⊂⊂ M be a relatively compact domain such that H1(M,Z) = H1(R,Z). Let R̃ −→ R be a covering. We study the algebra H∞(U) of bounded holomorphic functions defined in some domains U ⊂ R̃. Our main result is a Forelli type theorem on projections in H∞(D).
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A New Construction of Riemann Surfaces with Corona
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تاریخ انتشار 2008