Geodesic
A NECESSARY AND SUFFICIENT CONDITION FOR CERTAIN MARTINGALE INEQUALITIES IN BANACH FUNCTION SPACES
Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 431-447

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DOI

Let X be a Banach function space over a nonatomic probability space. We investigate certain martingale inequalities in X that generalize those studied by A. M. Garsia. We give necessary and sufficient conditions on X for the inequalities to be valid.
DOI : 10.1017/S0017089507003795
Mots-clés : 60G42, 46E30 
KIKUCHI, MASATO. A NECESSARY AND SUFFICIENT CONDITION FOR CERTAIN MARTINGALE INEQUALITIES IN BANACH FUNCTION SPACES. Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 431-447. doi: 10.1017/S0017089507003795
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     title = {A {NECESSARY} {AND} {SUFFICIENT} {CONDITION} {FOR} {CERTAIN} {MARTINGALE} {INEQUALITIES} {IN} {BANACH} {FUNCTION} {SPACES}},
     journal = {Glasgow mathematical journal},
     pages = {431--447},
     year = {2007},
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     doi = {10.1017/S0017089507003795},
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