THE CORONA THEOREM FOR BOUNDED FUNCTIONS IN DIRICHLET SPACE

• Received : 1997.06.30
• Published : 1997.07.31

Abstract

In this paper we prove that the corona theorem for the algebra $H^{\infty}(D){\cap}D(D)$. That is, we prove that $\mathcal{M}{\setminus}{\overline{D}}$ is an empty set where $\mathcal{M}$ is the maximal ideal space of the given algebra.

Acknowledgement

Supported by : Mokwon University