Solution of the \(\partial \bar{\partial}\)-problem in a pseudoconvex domain of \(\mathbb{C}^n\)

DOI10.1007/s41478-022-00385-2zbMath1504.32097OpenAlexW4224262628MaRDI QIDQ2093841

Eramane Bodian, Winnie Ossete Ingoba, Souhaibou Sambou, Ibrahima Hamidine

Publication date: 27 October 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00385-2

zbMATH Keywords

boundary valuespseudoconvex domains\(\partial \bar{\partial}\)-operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items (1)

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Cites Work

• The \(\overline \partial\)-problem for a form with distribution boundary value on a strictly pseudoconvex domain
• \(L^p\)-theory and Serre duality for the Cauchy-Riemann equation
• The \(\bar \partial\)-problem with support conditions on some weakly pseudoconvex domains
• Résolution du ∂- pour les Courants Prolongeables
• Résolution du<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>∂</mml:mi><mml:mover><mml:mi>∂</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:math>pour les formes différentielles ayant une valeur au bord au sens des courants dans un domaine étoilé strictement pseudoconvexe de<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℂ</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>
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