English

Weighted Orlicz-Poincar\'e inequalities in product spaces

Functional Analysis 2025-05-22 v2

Abstract

This article is a follow-up to arXiv:2304.04373. We establish necessary and sufficient conditions for weighted Orlicz-Poincar\'e inequalities in product spaces. These results follow the work of Chua and Wheeden, who established similar results for weighted Poincar\'e inequalities in product spaces.

Keywords

Cite

@article{arxiv.2409.19102,
  title  = {Weighted Orlicz-Poincar\'e inequalities in product spaces},
  author = {Lucas Yong},
  journal= {arXiv preprint arXiv:2409.19102},
  year   = {2025}
}