Some new properties concerning BLO martingales are given. The BMO-BLO boundedness of martingale maximal functions and Bennett type characterization of BLO martingales are shown. Also, a non-negative BMO martingale that is not in BLO is constructed.
"Some new properties concerning BLO martingales." Tohoku Math. J. (2) 69 (2) 183 - 194, 2017. https://doi.org/10.2748/tmj/1498269622