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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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.
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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