Pluripolar hulls and fine analytic structure

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We discuss the relation between pluripolar hulls and fine analytic structure. Our main result is the following. For each non polar subset $S$ of the complex plane $\mathbb C$ we prove that there exists a pluripolar set $E \subset (S \times \mathbb C)$ with the property that the pluripolar hull of $E$ relative to $\mathbb C^2$ contains no fine analytic structure and its projection onto the first coordinate plane equals $\mathbb C$.
14 pages, revised version, to appear in Indagationes Mathematicae

Keywords

Complex Variables, 32U15, 32E20, 31C40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/146804

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2102
 http://arxiv.org/abs/0709.2102

Collections

arXiv