English

Rearrangement invariant optimal range for Hardy type operators

Functional Analysis 2013-11-15 v1 Classical Analysis and ODEs

Abstract

We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between optimal range and optimal domain for these operators is carefully analyzed.

Keywords

Cite

@article{arxiv.1311.3582,
  title  = {Rearrangement invariant optimal range for Hardy type operators},
  author = {Javier Soria and Pedro Tradacete},
  journal= {arXiv preprint arXiv:1311.3582},
  year   = {2013}
}

Comments

25 pages

R2 v1 2026-06-22T02:07:40.886Z