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April 2004 Projections in the space H and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces
Alexander Brudnyi
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Ark. Mat. 42(1): 31-59 (April 2004). DOI: 10.1007/BF02432909

Abstract

LetM be a non-compact connected Riemann surface of a finite type, and RM be a relatively compact domain such that H1(M, Z)=H1(R, Z). Let $\tilde R \to R$ be a covering. We study the algebra H(U) of bounded holomorphic functions defined in certain subdomains $U \subset \tilde R$ . Our main result is a Forelli type theorem on projections in H(D).

Funding Statement

Research supported in part by NSERC.

Citation

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Alexander Brudnyi. "Projections in the space H and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces." Ark. Mat. 42 (1) 31 - 59, April 2004. https://doi.org/10.1007/BF02432909

Information

Received: 2 December 2002; Published: April 2004
First available in Project Euclid: 31 January 2017

zbMATH: 1081.46032
MathSciNet: MR2056544
Digital Object Identifier: 10.1007/BF02432909

Rights: 2004 © Institut Mittag-Leffler

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