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Sharp estimates of the Green function of hyperbolic Brownian motion

Sharp estimates of the Green function of hyperbolic Brownian motion

The main objective of the work is to provide sharp two-sided estimates of the $\lambda $-Green function, $\lambda \geq 0$, of the hyperbolic Brownian motion of a half-space. We rely on the recent results obtained by K. Bogus and J. Małecki (2015), regardi