Projections in the Space $H^{\infty}$ and the Corona Theorem for Coverings of Bordered Riemann Surfaces

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dc.creatorBrudnyi, Alexander
dc.date2001-10-14
dc.date.accessioned2026-07-07T04:43:50Z
dc.date.available2026-07-07T04:43:50Z
dc.descriptionLet $M$ be a non-compact connected Riemann surface of finite type, and $R\subset\subset M$ be a relatively compact domain such that $H_{1}(M,\Z)=H_{1}(R,\Z)$. Let $\tilde R\longrightarrow R$ be a covering. We study the algebra $H^{\infty}(U)$ of bounded holomorphic functions defined in some domains $U\subset\tilde R$. Our main result is a Forelli type theorem on projections in $H^{\infty}(\Di)$.
dc.identifierhttps://arxiv.org/abs/math/0110149
dc.identifierhttp://arxiv.org/abs/math/0110149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62392
dc.subjectComplex Variables
dc.subject30D15;32F05
dc.titleProjections in the Space $H^{\infty}$ and the Corona Theorem for Coverings of Bordered Riemann Surfaces
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