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 - 2020


  • Closed Range
  • Analytic continuation
  • Boundary of Analytic sets

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