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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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