On Compactness of Hankel and the $$\overline{\partial }$$-Neumann Operators on Hartogs Domains in $$\mathbb {C}^2$$C2 |
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| Authors: | Sönmez Şahutoğlu Yunus E Zeytuncu |
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| Institution: | 1.Department of Mathematics & Statistics,University of Toledo,Toledo,USA;2.Department of Mathematics & Statistics,University of Michigan–Dearborn,Dearborn,USA |
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| Abstract: | We prove that on smooth bounded pseudoconvex Hartogs domains in \(\mathbb {C}^2\) compactness of the \(\overline{\partial }\)-Neumann operator is equivalent to compactness of all Hankel operators with symbols smooth on the closure of the domain. |
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