Abstract
A description of spaces associated with weighted Cesàro and Copson spaces is presented. The answer is given in the form of sharp formulas for functionals equivalent to the norms of the corresponding associated spaces. All cases of the summation parameter and weight functions are studied.
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Funding
The work on the results obtained by the author in Sec. 3 was supported by the Russian Science Foundation (project 19-11-00087) and was carried out at the Steklov Mathematical Institute of the Russian Academy of Sciences.
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Translated from Matematicheskie Zametki, 2022, Vol. 111, pp. 443–450 https://doi.org/10.4213/mzm13290.
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Stepanov, V.D. On Spaces Associated with Weighted Cesàro and Copson Spaces. Math Notes 111, 470–477 (2022). https://doi.org/10.1134/S0001434622030142
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DOI: https://doi.org/10.1134/S0001434622030142