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On the Strongly Supermedian Functions and Kernels

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Abstract

We answer to a question of P.J. Fitzsimmons and R.K. Getoor concerning the characterization of a strongly supermedian function by the property of being “universally” supermedian. Based on the Revuz correspondence we also prove (alternatively to the probabilistic approach of Fitzsimmons and Getoor) that the Radon–Nikodym derivative between the Revuz measures of a semiregular excessive kernel and the regular strongly supermedian kernel generating it, does not depend on the kernel.

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References

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania

    Lucian Beznea

  2. Faculty of Mathematics, University of Bucharest, str. Academiei 14, RO-70109, Bucharest, Romania

    Nicu Boboc

Authors
  1. Lucian Beznea
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  2. Nicu Boboc
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Corresponding author

Correspondence to Lucian Beznea.

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Mathematics Subject Classifications (2000)

Primary 60J45, 31D05; Secondary 60J35, 60J40.

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Beznea, L., Boboc, N. On the Strongly Supermedian Functions and Kernels. Potential Anal 22, 127–132 (2005). https://doi.org/10.1007/s11118-004-0584-8

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  • DOI: https://doi.org/10.1007/s11118-004-0584-8

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