Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem

Giuseppe Zampieri; T.V. Khanh

arxiv: 1011.1046 · v1 · pith:YS2AP3MCnew · submitted 2010-11-04 · 🧮 math.CV

Necessary geometric and analytic conditions for general estimates in the dib-Neumann problem

T.V. Khanh , Giuseppe Zampieri This is my paper

classification 🧮 math.CV

keywords boundgeneralneumannproblemanalyticboundaryboundedcomplex

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We show that a general estimate in the $\dib$-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bounded family of weights.

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Necessary geometric and analytic conditions for general estimates in the dib-Neumann problem

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