Intrinsic Holder Continuity of Harmonic Functions

Hansen W (2017)
Potential Analysis 47(1): 1-12.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
In a setting, where only "exit measures" are given, as they are associated with a right continuous strong Markov process on a separable metric space, we provide simple criteria for scaling invariant Holder continuity of bounded harmonic functions with respect to a distance function which, in applications, may be adapted to the special situation. In particular, already a very weak scaling property ensures that Harnack inequalities imply Holder continuity. Our approach covers recent results by M. Kassmann and A. Mimica as well as cases, where a Green function leads to an intrinsic metric.
Stichworte
Harmonic function; Holder continuity; Right process; Balayage space; Levy process
Erscheinungsjahr
2017
Zeitschriftentitel
Potential Analysis
Band
47
Ausgabe
1
Seite(n)
1-12
ISSN
0926-2601
eISSN
1572-929X
Page URI
https://pub.uni-bielefeld.de/record/2912975

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Hansen W. Intrinsic Holder Continuity of Harmonic Functions. Potential Analysis. 2017;47(1):1-12.
Hansen, W. (2017). Intrinsic Holder Continuity of Harmonic Functions. Potential Analysis, 47(1), 1-12. doi:10.1007/s11118-016-9604-8
Hansen, W. (2017). Intrinsic Holder Continuity of Harmonic Functions. Potential Analysis 47, 1-12.
Hansen, W., 2017. Intrinsic Holder Continuity of Harmonic Functions. Potential Analysis, 47(1), p 1-12.
W. Hansen, “Intrinsic Holder Continuity of Harmonic Functions”, Potential Analysis, vol. 47, 2017, pp. 1-12.
Hansen, W.: Intrinsic Holder Continuity of Harmonic Functions. Potential Analysis. 47, 1-12 (2017).
Hansen, Wolfhard. “Intrinsic Holder Continuity of Harmonic Functions”. Potential Analysis 47.1 (2017): 1-12.