p-HARMONIC MEASURE IS NOT SUBADDITIVE
José G. Llorente, Juan J. Manfredi, Jang-Mei Gloria Wu · 2004
Dedicated to the memory of Tom Wolff. Without his work this note would not have been possible. Abstract. When 1 < p < ∞ and p � = 2 the p-harmonic measure on the boundary of the half plane R 2 + 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. 1.