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

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

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英文摘要

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.

作者：Sonmez Sahutoglu、Yunus E. Zeytuncu

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DOI：10.1007/s12220-016-9718-7

学科分类：数学

推荐引用：Sonmez Sahutoglu,Yunus E. Zeytuncu.On compactness of Hankel and the $\bar{\partial}$-Neumann operators on Hartogs domains in $\mathbb{C}^2$[EB/OL].(2015-10-27)[2025-08-02].https://arxiv.org/abs/1510.07924.点此复制

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

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

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