2014/03/25 by Karol Leśnik, Leśnik, Karol, Lech Maligranda +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #math.FA #msc:46B20 #msc:46B42 #msc:46E30
paper · pdf · doi:10.48550/arxiv.1403.6439
8 pages
arxiv created 2014/03/25 · arxiv updated 2014/03/26
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 inequality on [0, 1] which plays an important role in these considerations.