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On the associated spaces of the weighted altered Cesàro space

D. V. Prokhorov

Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, 65 Kim Yu Chena St, 680000 Khabarovsk, Russian Federation

Abstract: 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.

Keywords and phrases: Cesàro function spaces, associated spaces.

MSC: 46E30

Received: 03.10.2023

Language: English

DOI: 10.32523/2077-9879-2024-15-1-55-64