ON ESTIMATES OF POISSON KERNELS FOR SYMMETRIC LÉVY PROCESSES Kang, Jaehoon; Kim, Panki;
In this paper, using elementary calculus only, we give a simple proof that Green function estimates imply the sharp two-sided pointwise estimates for Poisson kernels for subordinate Brownian motions. In particular, by combining the recent result of Kim and Mimica , our result provides the sharp two-sided estimates for Poisson kernels for a large class of subordinate Brownian motions including geometric stable processes.
Tangential Limits for Harmonic Functions with Respect to ϕ(Δ): Stable and Beyond, Potential Analysis, 2015, 42, 3, 629
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