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Intrinsic Hölder Continuity of Harmonic Functions.
Intrinsic Hölder Continuity of Harmonic Functions.
- Source :
- Potential Analysis; Jul2017, Vol. 47 Issue 1, p1-12, 12p
- Publication Year :
- 2017
-
Abstract
- 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 Hölder 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 Hölder 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09262601
- Volume :
- 47
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Potential Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 123838060
- Full Text :
- https://doi.org/10.1007/s11118-016-9604-8