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Rademacher functions in weighted symmetric spaces

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Abstract

The closed span of Rademacher functions is investigated in the weighted spaces X(w), where X is a symmetric space on [0, 1] and w is a positive measurable function on [0, 1]. By using the notion and properties of the Rademacher multiplicator space of a symmetric space, we give a description of the weights w for which the Rademacher orthogonal projection is bounded in X(w).

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Samara State University, Acad. Pavlova 1, 443011, Samara, Russian Federation

    Sergey Astashkin

  2. Samara State Aerospace University (SSAU), Moskovskoye shosse 34, 443086, Samara, Russian Federation

    Sergey Astashkin

Authors
  1. Sergey Astashkin
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Correspondence to Sergey Astashkin.

Additional information

This work was supported by the Ministry of Education and Science of the Russian Federation.

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Astashkin, S. Rademacher functions in weighted symmetric spaces. Isr. J. Math. 218, 371–390 (2017). https://doi.org/10.1007/s11856-017-1468-0

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  • DOI: https://doi.org/10.1007/s11856-017-1468-0

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