English

A note on the limit of Orlicz norms

Classical Analysis and ODEs 2020-12-02 v1

Abstract

We generalize the well-known inequality that the limit of the LpL^p norm of a function as pp\rightarrow\infty is the LL^\infty norm to the scale of Orlicz spaces.

Keywords

Cite

@article{arxiv.2012.00707,
  title  = {A note on the limit of Orlicz norms},
  author = {David Cruz-Uribe and Scott Rodney},
  journal= {arXiv preprint arXiv:2012.00707},
  year   = {2020}
}