On the Associated Spaces for the Altered Cesàro Space

We study the altered Cesàro space, which is a non-ideal enlargement of the usual Cesàro space. We establish some of its basic properties, we prove the connection of the space with one weighted Sobolev space of first order on the real line and give a full characterization of the associated spaces.

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Published in:Analysis mathematica (Budapest) 2022-12, Vol.48 (4), p.1169-1183
Main Author: Prokhorov, D. V.
Format: Article
Language:English
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Analysis
Mathematics
Mathematics and Statistics
Sobolev space
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description We study the altered Cesàro space, which is a non-ideal enlargement of the usual Cesàro space. We establish some of its basic properties, we prove the connection of the space with one weighted Sobolev space of first order on the real line and give a full characterization of the associated spaces.
doi_str_mv 10.1007/s10476-022-0161-7
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subjects Analysis
Mathematics
Mathematics and Statistics
Sobolev space
title On the Associated Spaces for the Altered Cesàro Space
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