Pluripolarity of sets with small Hausdorff measure
Description
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
| Collections | ANU Research Publications |
|---|---|
| Date published: | 2000 |
| Type: | Journal article |
| URI: | http://hdl.handle.net/1885/90858 |
| Source: | Manuscripta Mathematica |
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| File | Description | Size | Format | Image |
|---|---|---|---|---|
| 01_Labutin_Pluripolarity_of_sets_with_2000.pdf | 46.48 kB | Adobe PDF | Request a copy |
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