Pluripolarity of sets with small Hausdorff measure |
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| Authors: | Denis A. Labutin |
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| Affiliation: | (1) Centre for Mathematics and its Applications, Australian National University, Canberra 0200 ACT, Australia. e-mail: labutin@maths.anu.edu.au, AU |
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| Abstract: | We show that any set E⊂C n , n≥ 2, with finite Hausdorff measure? is pluripolar. The result is sharp with respect to the measuring function. The new idea in the proof is to combine a construction from potential theory, related to the real variational integral , , with properties of the pluricomplex relative extremal function for the Bedford–Taylor capacity. Received: 20 May 1999 |
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| Keywords: | Mathematics Subject Classification (1991):32F05 |
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