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Abstract Cesàro spaces. II. Optimal range
Published 25 Mar 2014 in math.FA | (1403.6439v1)
Abstract: Ces`aro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on $[0, \infty)$ and on $[0, 1]$, as we can see in Theorem 1. Moreover, we present an improvement of Hardy inequality on $[0, 1]$ which plays an important role in these considerations.
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