A note on the closed range of $\bar\partial_b$ on q-convex manifolds

preprint2020arXivOpen access

We prove that the tangential Cauchy-Riemann operator 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.

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A note on the closed range of $\bar\partial_b$ on q-convex manifolds

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A note on the closed range of ∂ˉb\bar\partial_b∂ˉb​ on q-convex manifolds

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A note on the closed range of $\bar\partial_b$ on q-convex manifolds