Abstract Cesàro spaces. II. Optimal range

Abstract

Cesàro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on $[0,\infty )$ 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.

8 pages