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References
A. de Acosta, Inequalities for B-valued random vectors with applications to the strong law of large numbers, Annals of Probability 9 (1981), 157–161.
P. Assouad. Espaces p-lisses et q-convexes. Inégalités de Burkholder, Séminaire Maurey-Schwartz (1975), Exp. XV.
T. A. Azlarov and N. A. Volodin, The law of large numbers for identically distributied Banach space valued random variables, Teorya Veroyatnostey i Prim. 26 (1981), 584–590.
D. L. Burkholder, A geometrical characterization of Banch spaces in which martingale difference sequences are unconditional, Anals of Probability 9 (1981), 997–1011.
J. Elton, A law of large numbers for identically distributed martingale differences, Annals of Probability 9 (1981), 405–412.
G. Pisier, Martingales with values in uniformly convex spaces, Israel J. Math. 20 (1975), 326–250.
J. Szulga, On the Lr-convergence, r>0, for n−1/rSn in Banach spaces, Bull. Acad. Polon. Sci. 25 (1977), 1011–1013.
D. H. Thang and N. D. Tien, On the convergence of martingales and geometric properties of Banach spaces, Teorya Veroyatnostey i Prim. 26 (1981), 385–391.
W. A. Woyczyński, Asymptotic behavior of martingales in Banach spaces Lecture Notes in Math. 526 (1976), 273–284.
W. A. Woyczyński, Geometry and martingales in Banach spaces, Part I: Lecture Notes in Math. 472 (1975), 229–275; Part II: Advances in Prob. (Dekker) 4 (1978), 267–518.
W. A. Woyczyński, On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence, Probability and Math. Stat. 1 (1980), 117–131.
W. A. Woyczyński, Tail probabilities of sums of random vectors in Banach spaces and related mixed norms, Lecture Notes in Math. 794 (1980), 455–469.
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Woyczyński, W.A. (1982). Asymptotic behavior of martingales in Banach spaces II. In: Chao, JA., Woyczyński, W.A. (eds) Martingale Theory in Harmonic Analysis and Banach Spaces. Lecture Notes in Mathematics, vol 939. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096271
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DOI: https://doi.org/10.1007/BFb0096271
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