English

A few notes on Lorentz spaces

Functional Analysis 2018-02-02 v1

Abstract

In the sequel, we recall and comment some classical results on the non-increasing rearrangement and Lorentz spaces. There are papers in the existing literature that seemed to have been bypassed as regards its contractive property in~LpL^p spaces. Also, we provide detailed proofs and some properties that does not seem to arise in the existing literature.

Keywords

Cite

@article{arxiv.1802.00244,
  title  = {A few notes on Lorentz spaces},
  author = {Claire David},
  journal= {arXiv preprint arXiv:1802.00244},
  year   = {2018}
}
R2 v1 2026-06-23T00:07:22.901Z