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arXiv · 1510.07924

On compactness of Hankel and the $\bar{\partial}$-Neumann operators on Hartogs domains in $\mathbb{C}^2$

Sonmez Sahutoglu·Yunus E. Zeytuncu
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Abstract

We prove that on smooth bounded pseudoconvex Hartogs domains in $\mathbb{C}^2$ compactness of the $\bar{\partial}$-Neumann operator is equivalent to compactness of all Hankel operators with symbols smooth on the closure of the domain.

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Sonmez Sahutoglu, Yunus E. Zeytuncu. 2015-10-27. On compactness of Hankel and the $\bar{\partial}$-Neumann operators on Hartogs domains in $\mathbb{C}^2$. https://doi.org/10.1007/s12220-016-9718-7

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