Minimal thinness with respect to symmetric Lévy processes
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- by Panki Kim, Renming Song and Zoran Vondraček PDF
- Trans. Amer. Math. Soc. 368 (2016), 8785-8822 Request permission
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.References
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Additional Information
- Panki Kim
- Affiliation: Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Building 27, 1 Gwanak-ro, Gwanak-gu, Seoul 151-747, Republic of Korea
- MR Author ID: 705385
- Email: pkim@snu.ac.kr
- Renming Song
- Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
- MR Author ID: 229187
- Email: rsong@math.uiuc.edu
- Zoran Vondraček
- Affiliation: Department of Mathematics, University of Zagreb, Zagreb, Croatia
- MR Author ID: 293132
- Email: vondra@math.hr
- Received by editor(s): May 1, 2014
- Received by editor(s) in revised form: October 5, 2014, November 1, 2014, and November 17, 2014
- Published electronically: February 12, 2016
- Additional Notes: The work of Panki Kim was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MEST) (NRF-2013R1A2A2A01004822)
The research of Renming Song was supported in part by a grant from the Simons Foundation (208236)
The research of Zoran Vondraček was supported in part by the Croatian Science Foundation under the project 3526 - © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 8785-8822
- MSC (2010): Primary 60J50, 31C40; Secondary 31C35, 60J45, 60J75
- DOI: https://doi.org/10.1090/tran/6613
- MathSciNet review: 3551589