VII The Levi problem and the resolution of \(\overline{\partial}\) in strictly pseudoconvex domains

  • Christine Laurent-Thiébaut


This chapter is devoted to solving the Levi problem – or in other words, to proving that any pseudoconvex open set in ℂn is a domain of holomorphy. We proceed by studying \(\overline{\partial}\) in pseudoconvex open sets using local integral representation formulas for strictly pseudoconvex domains and then applying H. Grauert’s bumping technique.


Holomorphic Function Erential Form Pseudoconvex Domain Continuous Linear Operator Plurisubharmonic Function 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Institut FourierUniversité Joseph FourierSaint-Martin d’Hères CedexFrance

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