A Characterization of BMO^\alpha-martingale spaces by fractional Carleson measures
Probability
2014-05-12 v2
Abstract
We give a characterization of -martingale spaces by using fractional Carleson measures. We get the boudedness of martingale transform and square function on -martingale spaces easily by using this characterization. We also proved the martingale version of Carleson's inequality related with -martingales.
Keywords
Cite
@article{arxiv.1404.7721,
title = {A Characterization of BMO^\alpha-martingale spaces by fractional Carleson measures},
author = {Chao Zhang and Wei Chen and Peide Liu},
journal= {arXiv preprint arXiv:1404.7721},
year = {2014}
}
Comments
7 pages