Pseudoconvexity and Analytic Discs
The purpose of this paper is to investigate the geometry of pseudoconvex hypersurfaces and their interrelation with analytic discs. The method of analytic discs is a very powerful tool in the study of pseudoconvexity. One way to use this tool is via the so-called type function introduced by Dwilewicz and Hill for arbitrary Cauchy-Riemann manifolds. In the hypersurface case, and moreover, under the assumption of pseudoconvexity, it has additional properties which are given in this paper. As an application, boundary estimates of plurisubharmonic functions are given.
R. Dwilewicz, "Pseudoconvexity and Analytic Discs," Annals of Global Analysis and Geometry, Springer Verlag, Jan 1999.
The definitive version is available at http://dx.doi.org/10.1023/A:1006506802374
Mathematics and Statistics
Keywords and Phrases
analytic discs; pseudoconvex domains
Article - Journal
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