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

  • Christine Laurent-Thiébaut
Chapter

Abstract

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.

Keywords

Holomorphic Function Erential Form Pseudoconvex Domain Continuous Linear Operator Plurisubharmonic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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