Uniform upper bound for a stable measure of a small ball.
Geometrical properties of Banach spaces and the distribution of the norm for a stable measure
Potential theory of one-dimensional geometric stable processes
The purpose of this paper is to find optimal estimates for the Green function and the Poisson kernel for a half-line and intervals of the geometric stable process with parameter α ∈ (0,2]. This process has an infinitesimal generator of the form . As an application we prove the global scale invariant Harnack inequality as well as the boundary Harnack principle.
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