Abstract
Abstract Cesàro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on [0, ∞) and on [0, 1], as we can see in Theorem 1. Moreover, we present an improvement of Hardy’s inequality on [0, 1] which plays an important role in these considerations.
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This publication has been written during scholarship period of the first author at the Luleå University of Technology, thanks to a Swedish Institute scholarschip (number 0095/2013).
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Leśnik, K., Maligranda, L. Abstract Cesàro Spaces. Optimal Range. Integr. Equ. Oper. Theory 81, 227–235 (2015). https://doi.org/10.1007/s00020-014-2203-4
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DOI: https://doi.org/10.1007/s00020-014-2203-4