Martin Kernel for Fractional Laplacian in Narrow Cones

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.

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Bibliographic Details
Published inPotential analysis Vol. 42; no. 4; pp. 839 - 859
Main Authors Bogdan, Krzysztof, Siudeja, Bartłomiej, Stós, Andrzej
Format Journal Article
LanguageEnglish
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
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Summary: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.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-014-9459-9