The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space Ryan HamiltonMrinal Raghupathi Primary 47A57Secondary 30E0546E22Nevanlinna-Pick interpolationreproducing kernelcorona theoremmultiplier algebra Suppose $\mathfrak{A}$ is an algebra of operators on a Hilbert space $H$ and $A_1,\dots,A_n\in\mathfrak{A}$. If the row operator $[A_1,\dots,A_n]$ has a right inverse, the Toeplitz corona problem asks if a right inverse can be found with entries in $\mathfrak{A}$. When $H$ is a complete Nevanlinna--Pick space and $\mathfrak{A}$ is a weakly closed algebra of multiplication operators on $H$, we show that under a stronger hypothesis, the Toeplitz corona problem for $\mathfrak{A}$ has a solution. When $\mathfrak{A}$ is the full multiplier algebra of $H$, the Toeplitz corona theorems of Arveson, Schubert, and Ball--Trent--Vinnikov are obtained. A tangential interpolation result for these algebras is introduced in order to solve the Toeplitz corona problem. Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4685 10.1512/iumj.2012.61.4685 en Indiana Univ. Math. J. 61 (2012) 1393 - 1405 state-of-the-art mathematics http://iumj.org/access/