Pseudoconvexity and Analytic Discs
Abstract
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.
Recommended Citation
R. Dwilewicz, "Pseudoconvexity and Analytic Discs," Annals of Global Analysis and Geometry, Springer Verlag, Jan 1999.
The definitive version is available at https://doi.org/10.1023/A:1006506802374
Department(s)
Mathematics and Statistics
Keywords and Phrases
analytic discs; pseudoconvex domains
International Standard Serial Number (ISSN)
0232-704X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1999 Springer Verlag, All rights reserved.
Publication Date
01 Jan 1999
