Rademacher functions in weighted Cesàro spaces
Volume 217 / 2013
Studia Mathematica 217 (2013), 19-40
MSC: Primary 46E30; Secondary 46B20, 46B42.
DOI: 10.4064/sm217-1-2
Abstract
We study the behaviour of the Rademacher functions in the weighted Cesàro spaces ${\mathrm {Ces}(\omega ,p)}$, for $\omega (x) $ a weight and $1 \leq p \leq \infty $. In particular, the case when the Rademacher functions generate in ${\mathrm {Ces}(\omega ,p)}$ a closed linear subspace isomorphic to $\ell ^2$ is considered.
