A note on the closed range of ∂¯ b on q-convex manifolds

Luca Baracco, Alexander Tumanov

Research output: Contribution to journalArticlepeer-review


We prove that the tangential Cauchy–Riemann operator ∂¯ b has closed range on Levi-pseudoconvex CR manifolds that are embedded in a q-convex complex manifold X. Our result generalizes the known case when X is a Stein manifold (in particular, when X= Cn).

Original languageEnglish (US)
Article number14
JournalComplex Analysis and its Synergies
Issue number2
StatePublished - Jun 2020


  • Closed Range
  • Analytic continuation
  • Boundary of Analytic sets

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Numerical Analysis


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