MatrixValued Corona Theorem for Multiply Connected Domains
Abstract
Let $D\subset\Co$ be a bounded domain, whose boundary $B$ consists of $k$ simple closed continuous curves and $H^{\infty}(D)$ be the algebra of bounded analytic functions on $D$. We prove the matrixvalued corona theorem for matrices with entries in $H^{\infty}(D)$.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 1999
 arXiv:
 arXiv:math/9902046
 Bibcode:
 1999math......2046B
 Keywords:

 Complex Variables;
 46J15;
 30H05
 EPrint:
 6 pages