Geometry of semi-tube domains in ℂ2

Josep M. Burgués, Roman J. Dwilewicz

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

In this paper we study a class of unbounded domains in ℂ2 which are invariant with respect to translations in some fixed real direction. Such domains will be called semi-tubes. We prove various properties of such domains, e.g., dependence of pseudoconvexity on the position of the base of the domain in ℝ3 ≃ ℂ × ℝ, the Hartogs type phenomenon on holomorphic extension of CR functions, and give concrete examples of semi-tubes over tori in ℝ3 ≃ ℂ × ℝ and see how the position of the tori influences the pseudoconvexity of the semi-tube. © de Gruyter 2012.
Original languageEnglish
Pages (from-to)685-702
JournalAdvances in Geometry
Volume12
Issue number4
DOIs
Publication statusPublished - 1 Oct 2012

Keywords

  • Pseudoconvexity
  • Tubes
  • Unbounded domains

Fingerprint Dive into the research topics of 'Geometry of semi-tube domains in ℂ<sup>2</sup>'. Together they form a unique fingerprint.

Cite this