A class of strictly pseudoconvex domains with non-pluripolar core

TL;DR

This paper constructs specific strictly pseudoconvex domains in complex space with cores that have non-empty interior, demonstrating that such cores are not pluripolar, thus answering a previously posed mathematical question.

Contribution

It introduces a new class of strictly pseudoconvex domains with non-pluripolar cores, providing a counterexample to prior assumptions.

Findings

Cores of these domains have non-empty interior.

Cores are shown to be non-pluripolar.

Answers an open question in complex analysis.

Abstract

We construct a class of strictly pseudoconvex domains in Cdwhose core has non-empty interior. Consequently these cores are not pluripolar. This answers a question posed by Harz, Shcherbina and Tomassini.