Abstract Ces\`aro spaces. II. Optimal range

Karol Leśnik; Lech Maligranda

Abstract Ces\`aro spaces. II. Optimal range

Functional Analysis 2014-03-26 v1

Authors: Karol Leśnik , Lech Maligranda

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.

Keywords

topological spaces

Cite

@article{arxiv.1403.6439,
  title  = {Abstract Ces\`aro spaces. II. Optimal range},
  author = {Karol Leśnik and Lech Maligranda},
  journal= {arXiv preprint arXiv:1403.6439},
  year   = {2014}
}

Comments

8 pages

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