English

A note on one sided extrapolation of compactness and applications

Classical Analysis and ODEs 2024-07-18 v2

Abstract

In this paper one sided counterparts of compactness extrapolation results of Hyt\"onen and Lappas are provided. As a consequence of those results, compactness results for one sided singular integrals, commutators of one sided fractional integrals and a certain class of LrL^{r}-H\"ormander operators are provided. The results for commutators of LrL^{r}-H\"ormander operators seem new even in the classical setting.

Keywords

Cite

@article{arxiv.2406.11663,
  title  = {A note on one sided extrapolation of compactness and applications},
  author = {Francisco Javier Martín-Reyes and Israel P. Rivera-Ríos},
  journal= {arXiv preprint arXiv:2406.11663},
  year   = {2024}
}

Comments

Some proofs and results revised. Submitted

R2 v1 2026-06-28T17:08:50.411Z