Harmonic Morphisms and Ray Processes

Laszlo Csink and Bernt Øksendal
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Laszlo Csink: Eötvös University
Bernt Øksendal: University of Oslo, Department of Mathematics

A chapter in Potential Theory, 1988, pp 71-74 from Springer

Abstract: Abstract In the following we will let (X, U) and (Y, V) denote P-harmonic spaces in the sense of Constantinescu and Cornea [3]. (X, Y are locally compact Hausdorff spaces with countable bases and U, V are hyperharmonic sheaves on respectively.) We will assume that the constant function 1 is hyperharmonic. It is now well known that there exist Hunt processes Xt,Yt on X, V with continuous paths (i.e. diffusions) such that the family of Xt-excessive, resp. Yt-excessive, functions coincide with the family of non-negative U-hyperharmonic, resp. V-hyperharmonic, functions.

Keywords: Continuous Path; Compact Hausdorff Space; Countable Basis; Harmonic Morphism; Superharmonic Function (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0981-9_10

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DOI: 10.1007/978-1-4613-0981-9_10

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