Weighted Weak Type estimates for non-integral Square Functions
Classical Analysis and ODEs
2025-06-19 v1
Abstract
We provide quantitative weighted weak type estimates for non-integral square functions in the critical case in terms of the and reverse H\"older constants associated to the weight. The method of proof uses a decoupling of the role of the weights via a quantitative version of Gehring's lemma. The results can be extended to other in the range of boundedness of the square function at hand.
Cite
@article{arxiv.2506.14897,
title = {Weighted Weak Type estimates for non-integral Square Functions},
author = {Dario Mena and Maria Carmen Reguera and Luz Roncal},
journal= {arXiv preprint arXiv:2506.14897},
year = {2025}
}