Uchiyama's lemma and the John-Nirenberg inequality
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Knese, Greg;
Uchiyama's lemma and the John-Nirenberg inequality
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.
13 pages
- Alabama Agricultural and Mechanical University United States
- University of Alabama, Tuscaloosa United States
- University of Alabama - USA United States
Mathematics - Functional Analysis, Mathematics - Complex Variables, FOS: Mathematics, 30H35, 30H10, 30J99, Complex Variables (math.CV), Functional Analysis (math.FA)
Mathematics - Functional Analysis, Mathematics - Complex Variables, FOS: Mathematics, 30H35, 30H10, 30J99, Complex Variables (math.CV), Functional Analysis (math.FA)
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