Continuous rearrangements of the Haar system in $H_p$ for $0 < p < \infty$
Volume 189 / 2008
Studia Mathematica 189 (2008), 189-199
MSC: 42C20, 43A17, 47B38.
DOI: 10.4064/sm189-2-6
Abstract
We prove three theorems on linear operators $T_{\tau,p} : H_p({\cal B}) \to H_p$ induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for $T_{\tau,p}$ to be continuous for $0 < p < \infty$.
