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arXiv · 1201.5354

Uchiyama's lemma and the John-Nirenberg inequality

Greg Knese
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Abstract

Using integral formulas based on Green's theorem and in particular a lemma of Uchiyama, we give simple proofs of comparisons of different BMO norms without using the John-Nirenberg inequality while we also give a simple proof of the strong John-Nirenberg inequality. Along the way we prove the inclusions of BMOA in the dual of H^1 and BMO in the dual of real H^1.

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Greg Knese. 2012-01-25. Uchiyama's lemma and the John-Nirenberg inequality. https://doi.org/10.1112/blms%2Fbds102

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