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

preprint2018arXivOpen access

Abstract

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

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