Permutations of the Haar system
Functional Analysis
2009-09-25 v1
Abstract
General permutations acting on the Haar system are investigated. We give a necessary and sufficient condition for permutations to induce an isomorphism on dyadic BMO. Extensions of this characterization to Lipschitz spaces are obtained. When specialized to permutations which act on one level of the Haar system only, our approach leads to a short straightforward proof of a result due to E.M.Semyonov and B.Stoeckert.
Keywords
Cite
@article{arxiv.math/9201213,
title = {Permutations of the Haar system},
author = {Paul F. X. Müller},
journal= {arXiv preprint arXiv:math/9201213},
year = {2009}
}