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

2010/11/04 by T. V. Khanh, Khanh, T. V., Giuseppe Zampieri +1
Mathematics · #32F10 #32F20 #32N15 #32T25 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32F10 #msc:32F20 #msc:32N15 #msc:32T25

paper · pdf · doi:10.48550/arxiv.1011.1046

arxiv created 2010/11/04 · arxiv updated 2010/11/05

Abstract

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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• The Hardy-Littlewood Lemma and the estimate of the \dib-Neumann problem in a general norm
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