Toeplitz Corona Theorems for the Polydisk and the Unit Ball

Abstract

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 ${\mathbb{C}}^n$.

11 pages, to appear in Complex Anal. Oper. Theory

References in corpus (1)

• The Matrix-Valued $H^p$ Corona Problem in the Disk and Polydisk

Cited by in corpus (7)

• The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in ${\mathbb{C}}^n$
• Variations on a theme of Beurling
• Duality, Tangential Interpolation, and Toeplitz Corona Problems
• The Corona Problem for Kernel Multiplier Algebras
• Extensions of bounded holomorphic functions on the tridisk
• Linear Selections of Superlinear Set-Valued Maps with some Applications to Analysis
• What Hilbert spaces can tell us about bounded functions on the bidisk