Article ID Journal Published Year Pages File Type
4673245 Indagationes Mathematicae 2008 12 Pages PDF
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 ⊂ (S × ℂ) with the property that the pluripolar hull of E relative to ℂ2 contains no fine analytic structure and its projection onto the first coordinate plane equals ℂ.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)