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arXiv · 1508.00734

Rademacher functions in weighted symmetric spaces

Sergey Astashkin
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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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Sergey Astashkin. 2015-08-04. Rademacher functions in weighted symmetric spaces. https://arxiv.org/abs/1508.00734

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