Minimal thinness with respect to symmetric Lévy processes-Reference-Cited by-同舟云学术

Minimal thinness with respect to symmetric Lévy processes

Published:2016-02-12 Issue:12 Volume:368 Page:8785-8822
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kim Panki,Song Renming,Vondraček Zoran

Abstract

Minimal thinness is a notion that describes the smallness of a set at a boundary point. In this paper, we provide tests for minimal thinness at finite and infinite minimal Martin boundary points for a large class of purely discontinuous symmetric Lévy processes.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2016-368-12/S0002-9947-2016-06613-1/S0002-9947-2016-06613-1.pdf

Reference43 articles.

1. Quasiadditivity of capacity and minimal thinness;Aikawa, Hiroaki;Ann. Acad. Sci. Fenn. Ser. A I Math.,1993

2. Lecture Notes in Mathematics;Aikawa, Hiroaki,1996

3. Boundary Harnack principle for 𝑝-harmonic functions in smooth Euclidean domains;Aikawa, Hiroaki;Potential Anal.,2007

4. Springer Monographs in Mathematics;Armitage, David H.,2001

5. A minimum principle for positive harmonic functions;Beurling, Arne;Ann. Acad. Sci. Fenn. Ser. A I No.,1965

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New criteria for minimal thinness and rarefiedness associated with cylindrical Schrödinger operator and their geometrical properties;Journal of Differential Equations;2022-11

2. Censored symmetric Lévy-type processes;Forum Mathematicum;2019-11-01

3. On the Boundary Theory of Subordinate Killed Lévy Processes;Potential Analysis;2019-01-18

4. Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces;Revista Matemática Iberoamericana;2018-05-28

5. Minimal thinness with respect to subordinate killed Brownian motions;Stochastic Processes and their Applications;2016-04