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• W2951865547 abstract "The purpose of this paper is to find explicit formulas for basic objects pertaining the local potential theory of the operator $(I-Delta)^{alpha/2}$, $0<alpha<2$. The potential theory of this operator is based on Bessel potentials $J_{alpha}=(I-Delta)^{-alpha/2}$. We compute the {it harmonic measure} of the half-space and write a concise form of the corresponding {it Green function} for the operator $(I-Delta)^{alpha/2}$. To achieve this we analyze the so-called {it relativistic $alpha$-stable process} on $R^d$ space, killed when exiting the half-space. In terms of this process we are dealing here with the 1-{it potential theory} or, equivalently, potential theory of Schr{o}dinger operator based on the generator of the process with Kato's potential $q=-1$." @default.
• W2951865547 created "2019-06-27" @default.
• W2951865547 creator A5048915108 @default.
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• W2951865547 date "2006-12-07" @default.
• W2951865547 modified "2023-09-27" @default.
• W2951865547 title "Bessel Potentials, Hitting Distributions and Green Functions" @default.
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