p-harmonic measure is not additive on null sets
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 2, pp. 357-373.

When 1<p< and p2 the p-harmonic measure on the boundary of the half plane + 2 is not additive on null sets. In fact, there are finitely many sets E 1 , E 2 ,...,E κ in , of p-harmonic measure zero, such that E 1 E 2 ...E κ =.

Classification : 31A15, 35J70, 60G46
Llorente, José G. 1 ; Manfredi, Juan J. 2 ; Wu, Jang-Mei 3

1 Department de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Spain
2 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, USA
3 Department of Mathematics University of Illinois 1409 West Green Street Urbana, IL 61801, USA
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Llorente, José G.; Manfredi, Juan J.; Wu, Jang-Mei. $p$-harmonic measure is not additive on null sets. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 2, pp. 357-373. http://archive.numdam.org/item/ASNSP_2005_5_4_2_357_0/

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