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On the Minkowski problem for p-harmonic measures

  • Murat Akman,
  • Shirsho Mukherjee

摘要

We study the Minkowski problem corresponding to the p-harmonic measures and obtain results previously known for harmonic measures due to Jerison (Invent Math 105(2):375–400, 1991). We show that a class of Borel measures on spheres can be prescribed by p-harmonic measures on convex domains.