Geodesic
On the weak convergence of probability measures in Orlicz spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 495-507

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The necessary and sufficient conditions for the weak convergence of probability measures in separable Orlicz spaces are obtained. These conditions have the form of simultaneous convergence of characteristic functionals and generalized moments of the norm of the measures under consideration.
Keywords: probability measure, characteristic functional, Banach space, weak relative compactness of a family of measures, weak convergence of measures. 
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     author = {A. N. Baushev},
     title = {On the weak convergence of probability measures in {Orlicz} spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {495--507},
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     volume = {40},
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     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a1/}
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A. N. Baushev. On the weak convergence of probability measures in Orlicz spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 495-507. http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a1/