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arXiv · 1606.07780

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

Sonmez Sahutoglu·Akaki Tikaradze
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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-\v{C}u\v{c}kovi\'c-Rao Theorem in higher dimensions.

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Sonmez Sahutoglu, Akaki Tikaradze. 2016-06-24. On a theorem of Bishop and commutants of Toeplitz operators in $\mathbb{C}^n$. https://doi.org/10.1007/s12215-018-0353-y

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