ON ESTIMATES OF POISSON KERNELS FOR SYMMETRIC LÉVY PROCESSES

Title & Authors
ON ESTIMATES OF POISSON KERNELS FOR SYMMETRIC LÉVY PROCESSES
Kang, Jaehoon; Kim, Panki;

Abstract
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 [5], our result provides the sharp two-sided estimates for Poisson kernels for a large class of subordinate Brownian motions including geometric stable processes.
Keywords
symmetric L$\small{\acute{e}}$vy process;subordinate Brownian motion;Green function;Poisson kernel;
Language
English
Cited by
1.
Tangential Limits for Harmonic Functions with Respect to ϕ(Δ): Stable and Beyond, Potential Analysis, 2015, 42, 3, 629
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