Decay rate of harmonic functions for non-symmetric strictly $\alpha$-stable L\'evy processes

Tomasz Juszczyszyn

Decay rate of harmonic functions for non-symmetric strictly $\alpha$-stable L\'evy processes

Probability 2019-12-23 v1

Authors: Tomasz Juszczyszyn

Abstract

In this paper we investigate functions that are harmonic with respect to the non-symmetric strictly $\alpha$ -stable L\'evy processes on an open set $D \in \mathbb{R}^d$ . We obtain the explicit formula for their boundary decay rate at parts of the boudary of $D$ outside of which they vanish.

Keywords

harmonic functions non-symmetric stable levy processes boundary decay rate explicit formula open set

Cite

@article{arxiv.1912.09602,
  title  = {Decay rate of harmonic functions for non-symmetric strictly $\alpha$-stable L\'evy processes},
  author = {Tomasz Juszczyszyn},
  journal= {arXiv preprint arXiv:1912.09602},
  year   = {2019}
}

Related papers

View all related →