Abstract
In this note, we mainly make use of a method devised by Shaw [15] for studying Sobolev Dolbeault cohomologies of a pseudoconcave domain of the type \(\Omega = \tilde \Omega \backslash \overline { \cup _{j = 1}^m{\Omega _j}} \), where \({\tilde \Omega }\) and \(\{ {\Omega _j}\} _{j = 1}^m\Subset \tilde \Omega \) are bounded pseudoconvex domains in ℂn with smooth boundaries, and \({\overline \Omega_1}, \cdots ,{\overline \Omega_m}\) are mutually disjoint. The main results can also be quickly obtained by virtue of [5].
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Chen, J. On the Sobolev Dolbeault cohomology of a domain with pseudoconcave boundaries. Acta Math Sci 44, 431–444 (2024). https://doi.org/10.1007/s10473-024-0203-2
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DOI: https://doi.org/10.1007/s10473-024-0203-2