\(L^p\)-theory and Serre duality for the Cauchy-Riemann equation

DOI10.5802/afst.1448zbMath1323.32015arXiv1301.1611OpenAlexW2566720539MaRDI QIDQ744938

Christine Laurent-Thiébaut

Publication date: 12 October 2015

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1611

zbMATH Keywords

Serre duality\(L^p_{\mathrm{loc}}\)-theory\(L^p\)-Andreotti-Grauert theorysolution of the \(\overline\partial\)-equation with exact support

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items

Certain Contributions to the $$\bar {\partial }$$ -Problem, \(L^p\)-theory and Serre duality for the tangential Cauchy-Riemann equation, Solving \overline{∂} with prescribed support on Hartogs triangles in ℂ² and ℂℙ², Unnamed Item, Solutions of the \(\bar\partial\)-equation with compact support on Stein and Kähler manifold, On the $L^2$-Dolbeault cohomology of annuli, Solution of the \(\partial \bar{\partial}\)-problem in a pseudoconvex domain of \(\mathbb{C}^n\)

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