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On Rearrangements of the Haar System in L p

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Abstract

In this paper we study operators rearranging the Haar system in each bundle. It is proved that the norm of any nonidentical rearrangement admits a nontrivial lower bound in L p spaces, \(p \ne {\text{2}}\).

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References

  1. D. Z. Otyrba, “On rearrangements in L p spaces,” Vestnik Moskov. Univ. Ser. I Mat. Mekh. [Moscow Univ. Math. Bull.], No. 5, 67-69 (1994).

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Authors and Affiliations

  1. Abkhaz State University, Russia

    D. Z. Marshan

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  1. D. Z. Marshan
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Marshan, D.Z. On Rearrangements of the Haar System in L p . Mathematical Notes 68, 737–739 (2000). https://doi.org/10.1023/A:1026608716285

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  • DOI: https://doi.org/10.1023/A:1026608716285

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