Uchiyama's lemma and the John-Nirenberg inequality

Details Uchiyama's lemma and the John-Nirenberg inequality Uchiyama's lemma and the John-Nirenberg inequality

2012-01-25

arxiv.org/abs/1201.5354v1

Mathematics

Complex Variables

13 pages

Scientific paper

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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