Minimal thinness with respect to symmetric LÉvy processes

Panki Kim; Renming Song; Zoran Vondraček

doi:10.1090/tran/6613

Minimal thinness with respect to symmetric LÉvy processes

Panki Kim, Renming Song, Zoran Vondraček

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	8785-8822
Number of pages	38
Journal	Transactions of the American Mathematical Society
Volume	368
Issue number	12
DOIs	https://doi.org/10.1090/tran/6613
State	Published - 2016

Keywords

Boundary Harnack principle
Green function
Martin kernel
Minimal thinness
Quasi-additivity
Symmetric Lévy process
Unimodal Lévy process
Wiener-type criterion

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1090/tran/6613

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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 L{\'e}vy processes.",

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KW - Unimodal Lévy process

KW - Wiener-type criterion

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Minimal thinness with respect to symmetric LÉvy processes

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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