Boundary Harnack inequality for α-harmonic functions on the Sierpiński triangle

Autor

  • Kamil Kaleta
  • Mateusz Kwaśnicki

Abstrakt

We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to _-stable process on the Sierpiński triangle, where α ∈ 0, 1. Our result requires no regularity assumptions on the domain of harmonicity.
2000 AMS Mathematics Subject Classification: Primary: 60J45.

Pobrania

Opublikowane

2010-01-01

Numer

Dział

Artykuły [1035]