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Existence and compactness for the \({\overline{\partial}}\) -Neumann operator on q-convex domains

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The aim of this paper is to give a sufficient condition for existence and compactness of the \({\overline{\partial}}\) -Neumann operator N q on \({L^2_{(0,q)}(\Omega)}\) in the case Ω is an arbitrary q-convex domain in \({\mathbb{C}^n}\).

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Correspondence to Quang Dieu Nguyen.

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Le, M.H., Nguyen, Q.D. & Nguyen, X.H. Existence and compactness for the \({\overline{\partial}}\) -Neumann operator on q-convex domains. manuscripta math. 144, 517–534 (2014). https://doi.org/10.1007/s00229-014-0661-2

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  • DOI: https://doi.org/10.1007/s00229-014-0661-2

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