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Green function estimate for censored stable processes
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  • Published: December 2002

Green function estimate for censored stable processes

  • Zhen-Qing Chen1 &
  • Panki Kim1 

Probability Theory and Related Fields volume 124, pages 595–610 (2002)Cite this article

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  • 44 Citations

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Abstract.

 Sharp two-sided estimates for Green functions of censored α-stable process Y in a bounded C 1,1 open set D are obtained, where α  (1, 2). It is shown that the Martin boundary and minimal Martin boundary of Y can all be identified with the Euclidean boundary of D. Sharp two-sided estimates for the Martin kernel of Y are also derived.

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, Seattle, WA 98195, USA. e-mails: zchen@math.washington.edu, pkim@math.washington.edu, , , , , , US

    Zhen-Qing Chen & Panki Kim

Authors
  1. Zhen-Qing Chen
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  2. Panki Kim
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Additional information

Received: 27 January 2002 / Revised version: 10 June 2002 / Published online: 24 October 2002

This research is supported in part by NSF Grant DMS-0071486.

Mathematics Subject Classification (2002): Primary: 60J45, 31C35; Secondary: 60G52, 31C15

Keywords or phrases: Censored stable process – Green function – Capacity – Martin boundary – Martin kernel – Harmonic function

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Chen, ZQ., Kim, P. Green function estimate for censored stable processes. Probab Theory Relat Fields 124, 595–610 (2002). https://doi.org/10.1007/s00440-002-0226-2

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  • Issue Date: December 2002

  • DOI: https://doi.org/10.1007/s00440-002-0226-2

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Keywords

  • Green Function
  • Function Estimate
  • Stable Process
  • Martin Boundary
  • Martin Kernel
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