Uchiyama's lemma and the John-Nirenberg inequality
Complex Variables
2020-02-19 v1 Functional Analysis
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.
Cite
@article{arxiv.1201.5354,
title = {Uchiyama's lemma and the John-Nirenberg inequality},
author = {Greg Knese},
journal= {arXiv preprint arXiv:1201.5354},
year = {2020}
}
Comments
13 pages