Characterizations of boundaries of holomorphic 1-chains within ℂ ̂ × ℂ̂ and ℂ ̂ × ℂ̂

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


By way of a particular Cauchy-type integral, we characterize the closed rectifiable 1-currents γ, with support contained in ℂ 2 and satisfying condition A 1, that bound holomorphic 1-chains within ℂ̂× ℂ̂ . Also, we derive characterizations for the boundaries of holomorphic 1-chains within ℂ̂× ℂ̂, which yield examples of characterizations within a non-compact, non-Stein space. Additionally, we illustrate a connection between some of these characterizations and the Cauchy integral characterization of boundary values of meromorphic and holomorphic functions over a domain in ℂ.

Original languageEnglish (US)
Pages (from-to)1159-1170
Number of pages12
JournalJournal of Geometric Analysis
Issue number4
StatePublished - Oct 2008

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


Dive into the research topics of 'Characterizations of boundaries of holomorphic 1-chains within ℂ ̂ × ℂ̂ and ℂ ̂ × ℂ̂'. Together they form a unique fingerprint.

Cite this