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Permutations of the Haar system

Part of the Lecture Notes in Mathematics book series (LNM,volume 1469)

Abstract

Permutations which act on one level of the Haar system only, are considered. A short straightforward proof of a result due to E.M. Semyonov and B. Stöckert is given.

Supported by E. Schrödinger auslandsstipendium PR.Nr J0458-PHY

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References

  1. R.R. Coifman and G. Weiss. Extensions of Hardy spaces and their use in Analysis, Bull. Amer. Math. Soc. 83 (1977).

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  2. S. Janson and P.W. Jones Interpolation between H p spaces: The complex method, Journal o. Functional Analysis 48 (1982).

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  3. E.M. Semyonov and B. Stöckert. Haar system rearrangement in the spaces L p , Analysis Mathematika 7 (1981).

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© 1991 Springer-Verlag

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Müller, P.F.X. (1991). Permutations of the Haar system. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089218

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  • DOI: https://doi.org/10.1007/BFb0089218

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54024-3

  • Online ISBN: 978-3-540-47355-8

  • eBook Packages: Springer Book Archive