Abstract
We consider the one-dimensional John–Nirenberg inequality:|{x∈I0:|f(x)−fI0|>α}|⩽C1|I0|exp(−C2‖f‖⁎α). A. Korenovskii found that the sharp C2 here is C2=2/e. It is shown in this paper that if C2=2/e, then the best possible C1 is C1=12e4/e.
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