Geodesic
The weak drop property and the de la Vall\'ee Poussin Theorem
Problemy analiza, Tome 12 (2023) no. 3, pp. 105-118

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that a closed bounded convex set is uniformly integrable if and only if it has the weak drop property. We extract the weakly compact subsets of the Henstock integrable functions on the H-Orlicz spaces with the weak drop property via de la Vallée Poussin Theorem.
Keywords: Young's function, weak drop property, H-Orlicz spaces. 
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     author = {H. Kalita},
     title = {The weak drop property and the de la {Vall\'ee} {Poussin} {Theorem}},
     journal = {Problemy analiza},
     pages = {105--118},
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     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2023_12_3_a6/}
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H. Kalita. The weak drop property and the de la Vall\'ee Poussin Theorem. Problemy analiza, Tome 12 (2023) no. 3, pp. 105-118. http://geodesic.mathdoc.fr/item/PA_2023_12_3_a6/