Abstract
It is shown that a supermedian function is either locally integrable or = oo. From a slightly generalized form of this property (called finiteness principle), Harnack type inequalities for supermedian, and consequently for superharmonic, functions are obtained.
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References
C. Constantinescu and A. Cornea. Potential Theory on Harmonic Spaces. Springer-Verlag, 1972.
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© 1994 Springer Science+Business Media Dordrecht
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Cornea, A. (1994). Finiteness Principle and Harnack Principle. In: Bertin, E. (eds) ICPT ’91. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1118-8_15
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DOI: https://doi.org/10.1007/978-94-011-1118-8_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4488-2
Online ISBN: 978-94-011-1118-8
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