BMO Estimates for the $H^{\infty }({\mathbb{B}}_n)$ Corona Problem

Serban Costea, Eric T. Sawyer, Brett D. Wick

We study the $H^{\infty }({\mathbb{B}}_n)$ Corona problem ${\sum }_{j=1}^N{f}_j{g}_j=h$ and show it is always possible to find solutions $f$ that belong to $BMOA({\mathbb{B}}_n)$ for…