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Proceedings of the American Mathematical Society

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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
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] John B. Garnett, Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 628971
  • [2] Peter W. Jones, Factorization of 𝐴_{𝑝} weights, Ann. of Math. (2) 111 (1980), no. 3, 511–530. MR 577135, 10.2307/1971107
  • [3] J. L. Rubio de Francia, Factorization theory and $ {A_p}$ weights, Amer. J. Math. (to appear).

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Keywords: Maximal function, Hilbert transform, BMO, $ {A_p}$ weight
Article copyright: © Copyright 1983 American Mathematical Society