Pluripolar hulls and fine analytic structure

Tomas Edlund; Said El Marzguioui

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

Pluripolar hulls and fine analytic structure

Tomas Edlund
, Said El Marzguioui

Department of Economics

Publication: Contribution to journal › Journal article › peer-review

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.

Original language	English
Pages (from-to)	53-64
Number of pages	12
Journal	Indagationes Mathematicae
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/S0019-3577(08)00009-8
Publication status	Published - 2008

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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.",

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AB - 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.

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

U2 - 10.1016/S0019-3577(08)00009-8

DO - 10.1016/S0019-3577(08)00009-8

M3 - Journal article

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EP - 64

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 1

ER -

Pluripolar hulls and fine analytic structure

Abstract

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