Geodesic
On the associated spaces of the weighted altered Ces\`aro space
Eurasian mathematical journal, Tome 15 (2024) no. 1, pp. 55-64

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We study weighted altered Cesàro space $\mathrm{Ch}_{\infty,w}(I)$, which is a non-ideal enlargement of the usual Cesàro space. We prove the connection of this space with one weighted Sobolev space of the first order on real line and give characterizations of associate spaces of this space. 
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D. V. Prokhorov. On the associated spaces of the weighted altered Ces\`aro space. Eurasian mathematical journal, Tome 15 (2024) no. 1, pp. 55-64. http://geodesic.mathdoc.fr/item/EMJ_2024_15_1_a4/