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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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Published in: | Analysis mathematica (Budapest) 2022-12, Vol.48 (4), p.1169-1183 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0133-3852 1588-273X |
DOI: | 10.1007/s10476-022-0161-7 |