English

Continuously non-extendable mappings between generalized complex ellipsoids of different dimensions

Complex Variables 2024-06-07 v1

Abstract

There exists a proper holomorphic mapping between balls of different dimensions such that it does not extend continuously to the boundary. The aim of this paper is to show the same phenomenon occurs for pseudoconvex domains of different dimensions.

Keywords

Cite

@article{arxiv.2406.04051,
  title  = {Continuously non-extendable mappings between generalized complex ellipsoids of different dimensions},
  author = {Atsushi Hayashimoto},
  journal= {arXiv preprint arXiv:2406.04051},
  year   = {2024}
}
R2 v1 2026-06-28T16:55:50.551Z