2008/12/13 by Tran Vu Khanh, Khanh, Tran Vu, Giuseppe Zampieri +1
Mathematics · #32F10 #32F20 #32N15 #32T25 #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32F10 #msc:32F20 #msc:32N15 #msc:32T25
paper · pdf · doi:10.48550/arxiv.0812.2560
9 pages
openalex publication_date 2008/12/13 · arxiv created 2009/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For the ∂-Neumann problem on a regular coordinate domain Ω⊂ \Cn+1, we prove ε-subelliptic estimates for an index ε which is in some cases better than ε=\frac12m (m being the \it multiplicity) as it was previously proved by Catlin and Cho in \citeCC08. This also supplies a much simplified proof of the existing literature. Our approach is founded on the method by Catlin in \citeC87 which consists in constructing a family of weights \ϕδ\ whose Levi form is bigger than δ-2ε on the δ-strip around ∂Ω.