We study the behaviour of the Rademacher functions in the weighted Cesàro spaces Ces(ω,p), for ω(x) a weight and 1 ≤ p ≤ ∞. In particular, the case when the Rademacher functions generate in Ces(ω,p) a closed linear subspace isomorphic to ℓ² is considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-2,
author = {Javier Carrillo-Alan\'\i s},
title = {Rademacher functions in weighted Ces\`aro spaces},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {19-40},
zbl = {1295.46023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-2}
}
Javier Carrillo-Alanís. Rademacher functions in weighted Cesàro spaces. Studia Mathematica, Tome 215 (2013) pp. 19-40. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-2/