Let $\mathbb{B}$ be the open unit ball in $\mathbb{C}^n, n\geq 1$ and let $H^\infty (\mathbb{B})$ be the space of all bounded holomorphic functions on $\mathbb{B}$. It is well known that $H^\infty (\mathbb{B})$ is a Banach algebra. I was searching for the description of its dual space, but I could not find anything. My question is if its dual space can be described in terms of some measures on the boundary. Can anyone give me some reference on it?

Thank you.

*edit added (by YC):* this question has also been posted on Math StackExchange: https://math.stackexchange.com/questions/2766383/dual-of-the-space-of-all-bounded-holomorphic-functions

somemeasures on ${\bf T}$ will give you elements of $L^\infty({\bf T})$, namely the measures which are absolutely continuous with respect to Lebesgue measure on ${\bf T}$ $\endgroup$ – Yemon Choi May 4 '18 at 13:12finitely additivemeasures on $\partial {\mathbb B})$, or if you actually wanted the functionals to be represented bycountably additivemeasures? The first case is possible, I apologize if I did not make that clear; it's just that I tend not to think of it as very useful. $\endgroup$ – Yemon Choi May 5 '18 at 22:081more comment