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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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Bibliographic Details
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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Summary: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.
ISSN:0133-3852
1588-273X
DOI:10.1007/s10476-022-0161-7