Some remarks on ratio inequalities for continuous martingales
Norihiko Kazamaki, Masato Kikuchi (1989)
Studia Mathematica
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Norihiko Kazamaki, Masato Kikuchi (1989)
Studia Mathematica
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Jain, Pankaj, Upreti, Priti (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Miao, Yu (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Masato Kikuchi (1989)
Séminaire de probabilités de Strasbourg
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Nathalie Eisenbaum (2000)
Séminaire de probabilités de Strasbourg
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Formica, Maria Rosaria (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Peter Imkeller (1989)
Mathematische Annalen
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Robert Černý (2012)
Open Mathematics
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Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration-Compactness Principle for Moser-Trudinger inequalities: new results and proofs, Ann. Mat. Pura Appl. (in press), DOI: 10.1007/s10231-011-0220-3], we give a sharp estimate...
Neuman, Edward (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Yu Miao (2008)
ESAIM: Probability and Statistics
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In this paper, we apply the technique of decoupling to obtain some exponential inequalities for semi-bounded martingale, which extend the results of de la Peña, Ann. probab. 27 (1999) 537–564.