A. Brudnyi, “Extension of matrices with entries in <nobr>$H^\infty$</nobr> on coverings of Riemann surfaces of finite type”, Algebra i Analiz, 2009, Volume 21, Issue 3,Pages <nobr>79

This article is cited in 1 paper

Research Papers

Extension of matrices with entries in $H^\infty$ on coverings of Riemann surfaces of finite type

A. Brudnyi

Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

Abstract: The paper continues an earlier work of the author. An extension theorem is proved for matrices with entries in the algebra of bounded holomorphic functions defined on an unbranched covering of a Caratheodory hyperbolic Riemann surface of finite type.

Keywords: corona theorem, bounded holomorphic function, covering, Riemann surface of finite type.

MSC: 30D55, 30H05

Received: 21.01.2008

Language: English