p-HARMONIC MEASURE IS NOT SUBADDITIVE

نویسندگان

  • JOSÉ G. LLORENTE
  • JUAN J. MANFREDI
چکیده

When 1 < p < ∞ and p 6= 2 the p-harmonic measure on the boundary of the half plane R+ is not subadditive. In fact, there are finitely many sets E1, E2,...,Eκ on R, of p-harmonic measure zero, such that E1 ∪ E2 ∪ ... ∪ Eκ = R.

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تاریخ انتشار 2004