Wolff's Problem of Ideals in the Multipler Algebra on Weighted Dirichlet Space
We establish an analogue of Wolff's theorem on ideals in $H^{\infty}(\mathbb{D})$ for the multiplier algebra of weighted Dirichlet space.
math.FA↗
arXiv subjects
Tavan T. Trent
Publications and source records attributed to Tavan T. Trent.
Wolff's Problem of Ideals in the Multiplier Algebra on Dirichlet space
We establish an analogue of Wolff's theorem on ideals in $H^{\infty}(\mathbb{D})$ for the multiplier algebra of Dirichlet space.
math.FA↗
The Douglas property for multiplier algebras of operators
For a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and ball and for the Bergman space, k is a complete Pick kernel if and only if the multiplier algebra of the Hilbert space H^2(k) associated to k has the Douglas property. Consequences for solving the operator equation AX=Y are examined.
math.FA↗
Toeplitz Corona Theorems for the Polydisk and the Unit Ball
The main purpose of this paper is to extend and refine some work of Agler-McCarthy and Amar concerning the Corona problem for the polydisk and the unit ball in $\mathbb{C}^n$.
math.CA↗