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Vietnam Journal of Mathematics 34:3(2006) 275-284 |
Some Results on the Relation Between Pluripolarity of Graphs and Holomorphicity |
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Le Mau Hai and Phung Van Manh |
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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. |
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2000 Mathematics Subject Classification: 32H02, 32H25, 32U05. |
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Keywords: Pluripolar sets, Holomorphic graphs of Hartogs type, holomorphic graphs of Forelli type. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |