Brownian Sheet Images and Bessel – Riesz Capacity

  title={Brownian Sheet Images and Bessel – Riesz Capacity},
  author={Davar Khoshnevisan},
We show that the image of a 2–dimensional set under d–dimensional, 2–parameter Brownian sheet can have positive Lebesgue measure if and only if the set in question has positive (d/2)–dimensional Bessel–Riesz capacity. Our methods solve a problem of J.-P. Kahane. 
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