Abstract
Looking at Harnack inequality in Harmonic Spaces, we complete the well-known Tchebyshev inequality for positive integrable function with an opposite one.
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Acknowledgements
Many thanks to Lucian Beznea, Valentin Grecea, Ionel Popescu, Iulian Câmpean for the interest they showed in the meeting of Potential Theory seminar (October 25) when I presented the result, each of them trying to give their own solution.
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Bucur, I. A Converse of Tchebyshev Inequality. Mediterr. J. Math. 20, 202 (2023). https://doi.org/10.1007/s00009-023-02345-x
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DOI: https://doi.org/10.1007/s00009-023-02345-x
Keywords
- Measurable and probability space
- Fubini
- Lebesgue
- Kolmogorov theorem
- Tchebyshev inequality
- product probability space