The union problem for domains with partial pseudoconvex boundaries
Complex Variables
2025-04-29 v2
Abstract
We show that a smooth bounded domain in admitting partial pseudoconvex exhaustion remains partial pseudoconvex. The main ingredient of the proof is based on a new characterization of hyper--convex domains. Furthermore, we get several convex analogies.
Cite
@article{arxiv.2503.18139,
title = {The union problem for domains with partial pseudoconvex boundaries},
author = {Jinjin Hu and Xujun Zhang},
journal= {arXiv preprint arXiv:2503.18139},
year = {2025}
}
Comments
Some remarks added in the the Introduction, and references are updated