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

Luca Baracco; Alexander Tumanov

doi:10.1007/s40627-020-00053-w

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

Luca Baracco, Alexander Tumanov

Mathematics

Research output: Contribution to journal › Article

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).

Original language	English (US)
Article number	14
Journal	Complex Analysis and its Synergies
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/s40627-020-00053-w
State	Published - 2020

Keywords

Closed Range
Analytic continuation
Boundary of Analytic sets

Access to Document

10.1007/s40627-020-00053-w

Fingerprint Dive into the research topics of 'A note on the closed range of ∂¯b on q-convex manifolds'. Together they form a unique fingerprint.

Cite this

Baracco, L., & Tumanov, A. (2020). A note on the closed range of ∂¯_b on q-convex manifolds. Complex Analysis and its Synergies, 6(2), [14]. https://doi.org/10.1007/s40627-020-00053-w

@article{f0fe4b45f633470a97d45001d003746b,

title = "A note on the closed range of ∂¯b on q-convex manifolds",

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).",

keywords = "Closed Range, Analytic continuation, Boundary of Analytic sets",

author = "Luca Baracco and Alexander Tumanov",

year = "2020",

doi = "10.1007/s40627-020-00053-w",

language = "English (US)",

volume = "6",

journal = "Complex Analysis and its Synergies",

issn = "2524-7581",

number = "2",

}

TY - JOUR

T1 - A note on the closed range of ∂¯b on q-convex manifolds

AU - Baracco, Luca

AU - Tumanov, Alexander

PY - 2020

Y1 - 2020

N2 - 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).

AB - 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).

KW - Closed Range

KW - Analytic continuation

KW - Boundary of Analytic sets

U2 - 10.1007/s40627-020-00053-w

DO - 10.1007/s40627-020-00053-w

M3 - Article

VL - 6

JO - Complex Analysis and its Synergies

JF - Complex Analysis and its Synergies

SN - 2524-7581

IS - 2

M1 - 14

ER -