English

Rearrangements of the Haar system which preserve $\BMO$

Functional Analysis 2009-09-25 v1

Abstract

In this paper general rearrangements of the Haar system in BMO are considered. Several, necessary and suficient, conditions for the boundednes of the induced permutation operator are given. Using analytic families of operators extensions to the case of LpL^p are obtained .

Keywords

Cite

@article{arxiv.math/9601205,
  title  = {Rearrangements of the Haar system which preserve $\BMO$},
  author = {Paul F. X. Müller},
  journal= {arXiv preprint arXiv:math/9601205},
  year   = {2009}
}