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On the size the maximal function and the hilbert transform

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1384)

Keywords

  • Holomorphic Function
  • Maximal Function
  • Conjugate Operator
  • Sharp Form
  • Complex Function Theory

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References

  1. J. Bruna and B. Korenblum, A note on Calderón-Zygmund singular integral convolution operators, Bull.Amer.Math.Soc. 16(2) (April 1987).

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  2. J. Bruna and B. Korenblum, On Kolmogorov’s theorem, the Hardy-littlewood maximal function and the radial maximal function, J.d’Analyse Mathématique 50, 225–239, (1988).

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  3. R.R.Coifman and R.Rochberg, Another characterization of B.M.O., Proc. Amer. Math. Soc. 79, 1980.

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  4. J. Garnett, “Bounded analytic functions” Academic Press. New York.

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  5. B.Korenblum, A sharper form of a theorem of Kolmogorov, preprint.

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  6. A.Noell and T.Wolff, Peak sets for Lip α classes, preprint.

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  7. A.Samotij, An example of a Hilbert transform, preprint.

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  8. P.Sjörgren, How to recognize a discrete maximal function, preprint.

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  9. E.M. Stein, “Singular integrals and differentiability properties of functions”, Princeton Univ.Press. Princeton.

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  10. E.M. Stein, Editor’s note: The differentiability of functions in Rn, Annals of Math., 133(2), (1981).

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© 1989 Springer-Verlag

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Bruna, J. (1989). On the size the maximal function and the hilbert transform. In: García-Cuerva, J. (eds) Harmonic Analysis and Partial Differential Equations. Lecture Notes in Mathematics, vol 1384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086797

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  • DOI: https://doi.org/10.1007/BFb0086797

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51460-2

  • Online ISBN: 978-3-540-48134-8

  • eBook Packages: Springer Book Archive