The $$\partial \bar {\partial }$$ -Problem for the Differential Forms with Boundary Value in Currents Sense Defined in a Contractible Completely Strictly Pseudoconvex Domain of a Complex Manifold

DOI10.1007/978-3-030-57336-2_15zbMath1460.32069arXiv1902.09339OpenAlexW2917053125MaRDI QIDQ5855880

Salomon Sambou, Souhaibou Sambou

Publication date: 22 March 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09339

zbMATH Keywords

strictly pseudoconvex domain\(\partial\bar{\partial}\)-equation

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Strongly pseudoconvex domains (32T15)

Related Items (1)

Resolution of $$\partial \bar {\partial }$$ for Differential Forms with Boundary Value in the Sense of Currents Defined on a Half Space of $$\mathbb {C}^{n}$$

Cites Work

• Resolution of \(\overline{\partial}\) for continuable currents defined in a circular domain.
• 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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