[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2013.50.5.1009

ON ESTIMATES OF POISSON KERNELS FOR SYMMETRIC LÉVY PROCESSES

Kang, Jaehoon (Department of Mathematical Sciences Seoul National University)
Kim, Panki (Department of Mathematical Sciences and Research Institute of Mathematics Seoul National University)

Publication Information

Journal of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1009-1031 More about this Journal

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 $\acute{e}$ vy process; subordinate Brownian motion; Green function; Poisson kernel;

Citations & Related Records

Reference

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