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).
A note on the closed range of ∂¯ b on q-convex manifolds
Baracco, Luca
;
2020
Abstract
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).
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