Pluripolarity of sets with small Hausdorff measure

Abstract

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 Show more