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Pluripolarity of sets with small Hausdorff measure

Labutin, Denis


We show that any set E ⊂ Cn, n ≥ 2, with finite Hausdorff measure Λ(log 1/r)-n (E) < + ∞ 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, relate

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Manuscripta Mathematica


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