This is an announcement for the paper "Rademacher functions in weighted symmetric spaces" by Sergey Astashkin.

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).

Archive classification: math.FA

Mathematics Subject Classification: 46E30 (Primary), 46B20, 46B42 (Secondary)

Remarks: 15 pages

Submitted from: astash@samsu.ru

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1508.00734

or

http://arXiv.org/abs/1508.00734