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Sammanfattning

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.

Publicerad i

Indagationes Mathematicae
2008, volym: 19, nummer: 1, sidor: 53-64
Utgivare: ELSEVIER SCIENCE BV

SLU författare

UKÄ forskningsämne

Matematisk analys

Publikationens identifierare

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

Permanent länk till denna sida (URI)

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