@article{AIHPB_1982__18_4_335_0, author = {Bellow, A. and Egghe, L.}, title = {Generalized fatou inequalities}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {18}, year = {1982}, pages = {335-365}, mrnumber = {683336}, zbl = {0503.60056}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1982__18_4_335_0} }
Bellow, A.; Egghe, L. Generalized fatou inequalities. Annales de l'I.H.P. Probabilités et statistiques, Tome 18 (1982) pp. 335-365. http://gdmltest.u-ga.fr/item/AIHPB_1982__18_4_335_0/
[1] Amarts indexed by directed sets, Ann. Prob., t. 6, 2, 1978, p. 267-278. | MR 464394 | Zbl 0378.60017
,[2] Pointwise convergence in terms of expectations, Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 30, 1974, p. 17-26. | MR 358945 | Zbl 0276.60034
, , ,[3] Uniform amarts: a class of asymptotic martingales for which strong almost sure convergence obtains, Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 41, 1978, p. 177-191. | MR 471065 | Zbl 0391.60005
,[4] A characterization of almost sure convergence, Probability in Banach spaces II, Oberwolfach 1978, ed. A. Beck, Lecture Notes in Math., Springer-Verlag, t. 709, 1979, p. 45-65. | MR 537691 | Zbl 0416.60008
, ,[5] A note on the strong convergence of mils in Banach spaces, Prepint, 1979.
, ,[6] Sur les amarts faibles à valeurs vectorielles, C. R. Acad. Sci. Paris, t. 282, série A, 1976, p. 1011-1014. | MR 415761 | Zbl 0359.60046
, ,[7] On convergence of vector-valued asymptotic martingales, Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 33, 1975, p. 55-59. | MR 394859 | Zbl 0297.60005
, ,[8] Vector Measures, A. M. S.-Mathematical Surveys, t. 15, 1977. | MR 453964 | Zbl 0369.46039
, ,[9] Linear Operators I, Interscience Publ., 1957. | Zbl 0084.10402
, ,[10] Uniform semiamarts, Ann. Inst. H. Poincaré, sect. B, 15, t. 3, 1979, p. 197-203. | Numdam | MR 563735 | Zbl 0423.60046
,[11] Amarts, a class of asymptotic martingales, A. Discrete parameter, J. Multivariate Anal., t. 6, 1976, p. 193-221. | MR 413251 | Zbl 0336.60033
, ,[12] The Riesz decomposition theorem for vectorvalued amarts, Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 36, 1976, p. 85-92. | MR 413252 | Zbl 0319.60025
, ,[13] Strong convergences of pramarts in Banach spaces, to appear in Can. J. Math. | MR 617625 | Zbl 0414.60059
,[14] Some new Chacon-Edgar type inequalities for stochastic processes and characterizations of Vitali conditions, to appear in Ann. Inst. H. Poincaré, sect. B, t. 16, n° 4, 1980, p. 327-338. | Numdam | MR 603326 | Zbl 0451.60054
,[15] Sums of independent Banach space valued random variables, Studia Mathematica, t. LII, 1974, p. 159-186. | MR 356155 | Zbl 0265.60005
,[16] Martingales in Banach spaces for which the convergence with probability one, in probability and in law coincide, Coll. Math., t. 39, n° 1, 1978, p. 153-159. | MR 507276 | Zbl 0387.60049
,[17] Convergence of martingales with a directed index set, Trans. Amer. Math. Soc., t. 83, 1956, p. 313-337. | MR 91328 | Zbl 0083.27501
,[18] Neighborly bushes and the Radon-Nikodym Property for Banach spaces, Pacific J. Math., t. 87, n° 1, 1980, p. 157-168. | MR 590873 | Zbl 0447.46012
,[19] A separable Banach space with the Radon-Nikodym Property, which is not isomorphic to a subspace of a separable dual, Proc. Amer. Math. Soc., t. 78, n° 1, 1980, p. 40-42. | MR 548080 | Zbl 0393.46018
, ,[20] Convergence of classes of amarts indexed by directed sets, Can. J. Math., t. 32, n° 1, 1980, p. 86-125. | MR 559789 | Zbl 0448.60036
, ,[21] Characterizations of Vitali conditions with overlap in terms of convergence of classes of amarts, Can. J. Math., t. 31, n° 5, 1979, p. 1033-1046. | MR 546956 | Zbl 0432.60059
, ,[22] Discrete Parameter Martingales. North-Holland, 1975. | MR 402915 | Zbl 0345.60026
,[23] A limit theorem for martingale-like sequences, Rev. Roum. Math. Pures et Appl., t. 21, n° 6, 1976, p. 733-736. | MR 478298 | Zbl 0369.60053
,[24] Pettis mean convergence of vector-valued asymptotic martingales, Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 37, 1977, p. 291-295. | MR 571670 | Zbl 0325.60046
,