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Vietnam Journal of Mathematics 34:3(2006) 275-284

 Some Results on the Relation Between Pluripolarity of Graphs and Holomorphicity

Le Mau Hai and Phung Van Manh

Abstract.  The aim of this paper is to give some results on the relation between pluripolarity of graphs and holomorphicity of complex-valued functions. In particular, we investigate the relation between the pluripolarity of graphs and the holomorphicity of Hartogs type and of Forelli type.

2000 Mathematics Subject Classification: 32H02, 32H25, 32U05.

Keywords: Pluripolar sets, Holomorphic graphs of Hartogs type, holomorphic graphs of Forelli type.

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Published by Springer since January 2013