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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 3, Pages 105–118
DOI: https://doi.org/10.15393/j3.art.2023.13451 (Mi pa385) 		 
The weak drop property and the de la Vallée Poussin Theorem

H. Kalita

Mathematics Division, VIT Bhopal University, Indore-Bhopal Highway, Sehore, Madhya Pradesh, India
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DOI: https://doi.org/10.15393/j3.art.2023.13451
Abstract: 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.
Received: 19.02.2023
Revised: 16.05.2023
Accepted: 28.05.2023
Document Type: Article
UDC: 517.98
MSC: 46A55, 46B20
Language: English
Citation: H. Kalita, “The weak drop property and the de la Vallée Poussin Theorem”, Probl. Anal. Issues Anal., 12(30):3 (2023), 105–118
Citation in format AMSBIB
\Bibitem{Kal23}
\by H.~Kalita
\paper The weak drop property and the de la Vall\'ee Poussin Theorem
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 3
\pages 105--118
\mathnet{http://mi.mathnet.ru/pa385}
\crossref{https://doi.org/10.15393/j3.art.2023.13451}
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