Regularity for The CR Vector Bundle Problem I

2009/11/24 by Xianghong Gong, Gong, Xianghong, S. M. Webster +1
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #Holomorphic and Operator Theory #math.CV #msc:32V05

paper · pdf · doi:10.48550/arxiv.0911.4547

arxiv created 2009/11/24 · arxiv updated 2009/12/08

Abstract

We give a new solution to the local integrability problem for CR vector bundles over strictly pseudoconvex real hypersurfaces of dimension seven or greater. It is based on a KAM rapid convergence argument and avoids the previous more difficult Nash-Moser methods. The solution is sharp as to Hölder continuity.

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