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

Christine Laurent-Thiébaut ()
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Christine Laurent-Thiébaut: Université Joseph Fourier, Institut Fourier

A chapter in Holomorphic Function Theory in Several Variables, 2011, pp 147-193 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-85729-030-4_7

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