Rademacher functions in weighted symmetric spaces
Functional Analysis
2015-08-07 v2
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).
Cite
@article{arxiv.1508.00734,
title = {Rademacher functions in weighted symmetric spaces},
author = {Sergey Astashkin},
journal= {arXiv preprint arXiv:1508.00734},
year = {2015}
}
Comments
15 pages