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Non-uniqueness for rearranged double haar series

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Abstract

An example of non-trivial rearranged double Haar series that λ-converges to zero everywhere on the unit square, whenever λ < 2, is constructed.

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Authors and Affiliations

  1. Faculty of Engineering, Vereshchagin Vologda State Milk Industry Academy, Shmidt str. 2, Vologda–Molochnoe, 160555, Russia

    M. Plotnikov

  2. Technological Faculty, Vereshchagin Vologda State Milk Industry Academy, Shmidt str. 2, Vologda–Molochnoe, 160555, Russia

    J. Plotnikova

Authors
  1. M. Plotnikov
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  2. J. Plotnikova
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Correspondence to M. Plotnikov.

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Plotnikov, M., Plotnikova, J. Non-uniqueness for rearranged double haar series. Anal Math 42, 173–184 (2016). https://doi.org/10.1007/s10476-016-0206-x

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  • DOI: https://doi.org/10.1007/s10476-016-0206-x

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