On a theorem of Bishop and commutants of Toeplitz operators in ${\mathbb{C}}^n$

Abstract

We prove an approximation theorem on a class of domains in ${\mathbb{C}}^n$ on which the $\overline{\partial }$-problem is solvable in $L^{\infty }$. Furthermore, as a corollary, we obtain a version of the Axler-Čučković-Rao Theorem in higher dimensions.

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References in corpus (3)

• The commutants of certain Toeplitz operators on weighted Bergman spaces
• Uniform algebras and approximation on manifolds
• Commutants of Toeplitz Operators with Harmonic Symbols

Cited by in corpus (1)

• Solvability of the Gleason problem on a class of bounded pseudoconvex domains