Martin Kernel for Fractional Laplacian in Narrow Cones

• Published in: Potential analysis Vol. 42; no. 4; pp. 839 - 859
• Main Authors: Bogdan, Krzysztof, Siudeja, Bartłomiej, Stós, Andrzej
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2015
• Subjects: Functional Analysis; Geometry; Mathematics; Mathematics and Statistics; Potential Theory; Probability Theory and Stochastic Processes; 2010: 31B25; 45K05; Fractional Laplacian; Circular cone; Martin kernel; 60J45

We give a power law for the homogeneity degree of the Martin kernel at infinity of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.