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Constructive decomposition of BMO functions and factorization of $ A\sb{p}$ weights


Authors: R. Coifman, Peter W. Jones and José L. Rubio de Francia
Journal: Proc. Amer. Math. Soc. 87 (1983), 675-676
MSC: Primary 42B30; Secondary 30D55
DOI: https://doi.org/10.1090/S0002-9939-1983-0687639-3
MathSciNet review: 687639
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Abstract: We give elementary proofs of the decomposition of BMO functions on the line and factorization of $ {A_p}$ weights. Our method is an explicit version of a construction due to the third author.


References [Enhancements On Off] (What's this?)

  • [1] J. Garnett, Bounded analytic functions, Academic Press, New York, 1981. MR 628971 (83g:30037)
  • [2] P. W. Jones, Factorization of $ {A_p}$ weights, Ann. of Math. (2) 111 (1980), 511-530. MR 577135 (82b:46035)
  • [3] J. L. Rubio de Francia, Factorization theory and $ {A_p}$ weights, Amer. J. Math. (to appear).

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0687639-3
Keywords: Maximal function, Hilbert transform, BMO, $ {A_p}$ weight
Article copyright: © Copyright 1983 American Mathematical Society

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