Pluripolar hulls and fine analytic structure

Edlund, Tomas; El Marzguioui, Said

doi:10.1016/S0019-3577(08)00009-8

Abstract

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 C we prove that there exists a pluripolar set E subset of (S x C) with the property that the pluripolar hull of E relative to C(2) contains no fine analytic structure and its projection onto the first coordinate plane equals C.

Published in

Indagationes Mathematicae
2008, volume: 19, number: 1, pages: 53-64
Publisher: ELSEVIER SCIENCE BV

SLU Authors

Edlund, Tomas
- Department of Economics, Swedish University of Agricultural Sciences

UKÄ Subject classification

Mathematical Analysis

Publication identifier

DOI: https://doi.org/10.1016/S0019-3577(08)00009-8

Permanent link to this page (URI)

https://res.slu.se/id/publ/77945