Solving \overline{∂} with prescribed support on Hartogs triangles in ℂ² and ℂℙ²

DOI10.1090/tran/7545zbMath1439.32024arXiv1609.04194OpenAlexW2964239430MaRDI QIDQ4633632

Mei-Chi Shaw, Christine Laurent-Thiébaut

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04194

zbMATH Keywords

Hartogs triangleDolbeault cohomology with prescribed support

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Duality theorems for analytic spaces (32C37)

Related Items

Exact sequences and estimates for the \(\overline{\partial } \)-problem ⋮ Hardy spaces for a class of singular domains ⋮ Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle ⋮ The nonlinear boundary value problem for \(k\) holomorphic functions in \(\mathbb{C}^2\) ⋮ Holomorphic approximation via Dolbeault cohomology ⋮ Estimates for \(\overline{\partial}\) on domains in \(\mathbb{C}^n\) and \(\mathbb{CP}^n\) ⋮ A local obstruction for elliptic operators with real analytic coefficients on flat germs

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