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Rearrangements of BMO functions and interpolation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1070)

Keywords

  • Interpolation Theorem
  • Interpolation Theory
  • Weighted Norm Inequality
  • Sharp Function
  • Martingale Space

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References

  1. Bennett, C., DeVore, R., Sharpley, R.: Weak L and BMO. Annals of Math. 113(1981), 601–611.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Dellacherie, C., Meyer, P.A., Yor, M.: Sur certaines propriétes des espaces de Banach H1 et BMO. Séminaire de Probabilités 12, Lecture Notes in Math. 649. Springer Verlag. 1978.

    Google Scholar 

  3. John, F., Nirenberg, L.: On functions of bounded mean oscillation. Comm. Pure Appl. Math. 14(1961), 415–426.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Jones, P.: Factorization of Ap weights. Annals of Math. 111(1980), 511–530.

    CrossRef  MATH  Google Scholar 

  5. Milman, M.: Interpolation of martingale spaces and applications. 11 Sem. Bras. Analysis, Sao Carlos (1980), pp. 92–108.

    Google Scholar 

  6. Milman, M.: On interpolation of martingale Lp spaces. Indiana Math. J. 30(1981), 313–318.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Milman, M., Sagher, Y.: An interpolation theorem, Ark.Mat. 22,3–38 (1984).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Muckenhoupt, B.: Weighted norm inequalities for the Hardy maximal function. Trans. Amer. Math. Soc. 165(1972), 207–226.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Sagher, Y.: A new interpolation theorem. Proc. Conf. Harmonic Analysis. Lecture Notes in Math. 908. Springer Verlag. 1981.

    Google Scholar 

  10. Sagher, Y.: An application of the approximation functional to interpolation theory. In: W. Beckner-A.P. Calderón-R. Fefferman-P. W. Jones. Proc. Conf. Harmonic Analysis in honor of A. Zygmund, pp. 802–809. Belmont: Wadsworth 1983.

    Google Scholar 

  11. Reiman H.M., Rychener, T.: Funktionen beschränkter mittlerer Oczillation. Lecture Notes in Math 487. Springer Verlag 1975.

    Google Scholar 

  12. Rubio de Francia, J.B.: Factorization theory and Ap weights. Amer. J. Math., to appear.

    Google Scholar 

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© 1984 Springer-Verlag

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Milman, M. (1984). Rearrangements of BMO functions and interpolation. In: Cwikel, M., Peetre, J. (eds) Interpolation Spaces and Allied Topics in Analysis. Lecture Notes in Mathematics, vol 1070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099103

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  • DOI: https://doi.org/10.1007/BFb0099103

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13363-6

  • Online ISBN: 978-3-540-38913-2

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