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On dimension free maximal inequalities for convex symmetric bodies in ℜn

Part of the Lecture Notes in Mathematics book series (LNM,volume 1267)

Keywords

  • Maximal Function
  • General Convex
  • Convex Symmetric Body
  • Measure Preserve Transformation
  • Function Inequality

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References

  1. J. Bourgain: On the L p-bounds for maximal functions associated to convex bodies in ℜn, Israel J. Math., 54 (1986), 257–265.

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  2. J. Bourgain: On high dimensional maximal functions associated to convex bodies, Amer. J. Math., Vol 108, N6, 1986, 1467–1476.

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  3. E.M. Stein: Topics in Harmonic Analysis, Ann. Math. Studies No. 63, Princeton UP, 1970.

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  4. E. M. Stein, J. O. Stromberg: Behavior of maximal functions in ℜn for large n, Arkiv Math. 21 (1983), 259–269.

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© 1987 Springer-Verlag

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Bourgain, J. (1987). On dimension free maximal inequalities for convex symmetric bodies in ℜn . In: Lindenstrauss, J., Milman, V.D. (eds) Geometrical Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078144

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  • DOI: https://doi.org/10.1007/BFb0078144

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18103-3

  • Online ISBN: 978-3-540-47771-6

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