Local boundary regularity of holomorphic mappings

L. Nirenberg, S. Webster, P. Yang

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


Let f be a holomorphic mapping between two bounded domains D and D' in complex space ℂn. Suppose that D and D' contain smooth real hypersurfaces Γ and Γ′ as open subsets of their respective boundaries, which correspond under a continuous extension of f. We shall show that this extension is smooth, given certain restrictions on Γ, Γ, and f.

Original languageEnglish (US)
Pages (from-to)305-338
Number of pages34
JournalCommunications on Pure and Applied Mathematics
Issue number3
StatePublished - May 1980
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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