Boundary values of pluriharmonic functions with Bott-Chern cohomology
DOI10.1007/S44146-024-00110-4MaRDI QIDQ6548066
Eramane Bodian, Sény Diatta, Shaban Khidr, Souhaibou Sambou, Salomon Sambou
Publication date: 31 May 2024
Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)
Continuation of analytic objects in several complex variables (32D15) Pluriharmonic and plurisubharmonic functions (31C10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Removable singularities in several complex variables (32D20) Vanishing theorems (32L20)
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- 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>
- Generalization of the Hartogs-Bochner theorem to unbounded domains
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