UNIVERSITY
OF WROCŁAW
 
Main Page
Contents
Online First
General Information
Instructions for authors


VOLUMES
43.1 42.2 42.1 41.2 41.1 40.2 40.1
39.2 39.1 38.2 38.1 37.2 37.1 36.2
36.1 35.2 35.1 34.2 34.1 33.2 33.1
32.2 32.1 31.2 31.1 30.2 30.1 29.2
29.1 28.2 28.1 27.2 27.1 26.2 26.1
25.2 25.1 24.2 24.1 23.2 23.1 22.2
22.1 21.2 21.1 20.2 20.1 19.2 19.1
18.2 18.1 17.2 17.1 16.2 16.1 15
14.2 14.1 13.2 13.1 12.2 12.1 11.2
11.1 10.2 10.1 9.2 9.1 8 7.2
7.1 6.2 6.1 5.2 5.1 4.2 4.1
3.2 3.1 2.2 2.1 1.2 1.1
 
 
WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 30, Fasc. 2,
pages 353 - 368
 

BOUNDARY HARNACK INEQUALITY FOR α -HARMONIC FUNCTIONS ON THE SIERPIŃSKI TRIANGLE

Kamil Kaleta
Mateusz Kwaśnicki

Abstract: We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to α -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.

Keywords and phrases: Sierpi ń ski triangle, boundary Harnack in-  equality, stable process.

Download:    Abstract    Full text   Abstract + References