Open Access
March 2006 Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes
Krzysztof Michalik
Hiroshima Math. J. 36(1): 1-21 (March 2006). DOI: 10.32917/hmj/1147883392

Abstract

We investigate the Green function, the Poisson kernel and the Martin kernel of circular cones in the symmetric stable case. We derive their sharp estimates. We also investigate properties of the characteristic exponent of these estimates. We prove that this exponent is a continuous function of the aperture of the cone.

Citation

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Krzysztof Michalik. "Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes." Hiroshima Math. J. 36 (1) 1 - 21, March 2006. https://doi.org/10.32917/hmj/1147883392

Information

Published: March 2006
First available in Project Euclid: 17 May 2006

zbMATH: 1103.31003
MathSciNet: MR2213639
Digital Object Identifier: 10.32917/hmj/1147883392

Subjects:
Primary: 31B25 , 60J45

Keywords: circular cone , Green function , 𝛼-harmonic function , Martin kernel , Poisson kernel , Stable process

Rights: Copyright © 2006 Hiroshima University, Mathematics Program

Vol.36 • No. 1 • March 2006
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