Open Access
Winter 2011 Stable semigroups on homogeneous trees and hyperbolic spaces
Andrzej Stós
Illinois J. Math. 55(4): 1437-1454 (Winter 2011). DOI: 10.1215/ijm/1373636692

Abstract

We prove the kernel estimates for subordinated semigroups on homogeneous trees. We study the long time propagation problem. We exploit this to show exit time estimates for large balls in an abstract setting of metric measure spaces. Finally, we give estimates for the Poisson kernel of a ball.

Citation

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Andrzej Stós. "Stable semigroups on homogeneous trees and hyperbolic spaces." Illinois J. Math. 55 (4) 1437 - 1454, Winter 2011. https://doi.org/10.1215/ijm/1373636692

Information

Published: Winter 2011
First available in Project Euclid: 12 July 2013

zbMATH: 1276.60082
MathSciNet: MR3082877
Digital Object Identifier: 10.1215/ijm/1373636692

Subjects:
Primary: 60J35
Secondary: 14M17 , 47D03

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 4 • Winter 2011
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