We consider a Riesz decomposition theorem for super-polyharmonic functions satisfying certain growth condition on surface integrals in the punctured unit ball. We give a condition that super-polyharmonic functions u have the bound \documentclass{aastex}
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$$u\left( x \right) = O\left( {\mathcal{R}_2 \left( x \right)} \right),$$
\end{document} where \documentclass{aastex}
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$$\mathcal{R}_2$$
\end{document} denotes the fundamental solution for −Δu in ℝn.
A global Riesz decomposition theorem on trees without positive potentials
