Some new properties concerning BLO martingales are given. The BMO-BLO boundedness of martingale maximal functions and Bennett type characterizatipn of BLO martingales. are shown. Also, a non-negative BMO martingale that is not in BLO is constructed.
We introduce'generalized Campanato spaces L-p,L-phi on a probability Space (Omega, F, P), where p is an element of [1, infinity) and phi: (0,1] -> (0, infinity). If p = 1 and phi equivalent to 1, then L-p,L-phi = BMO. We give a characterization...
STATISTICS & PROBABILITY LETTERS 83(10) 2168-2171 2013年10月 [査読有り]
We prove the boundedness of the maximal operator for martingales on generalized Lebesgue spaces with variable exponent over probability spaces. We consider pointwise multipliers on martingale BMO as the variable exponent. (C) 2013 Elsevier B.V. Al...
JOURNAL OF FUNCTION SPACES AND APPLICATIONS (1753) Art. ID 690258, 14 pages 2013年 [査読有り]
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and...
The purpose of this paper is to introduce five martingale Orlicz-Hardy spaces and to establish the atomic decomposition theorem. As applications we show the relation among five martingale Orlicz-Hardy spaces and the duality, namely, the dual of ma...
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