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arXiv · 2212.09250

On the associated spaces for the weighted altered Ces\`aro space Ch$_{\infty,w}(I)$

Dmitrii V. Prokhorov
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Abstract

We study weigted altered Ces\`aro space Ch$_{\infty,w}(I)$, which is non-ideal enlargement of the usual Ces\`aro space. We prove the connection of the space with one weighted Sobolev space of first order on real line and give characterization of associate spaces for the space.

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Dmitrii V. Prokhorov. 2022-12-19. On the associated spaces for the weighted altered Ces\`aro space Ch$_{\infty,w}(I)$. https://arxiv.org/abs/2212.09250

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