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arXiv · 2506.14897

Weighted Weak Type estimates for non-integral Square Functions

Dario Mena·Maria Carmen Reguera·Luz Roncal
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Abstract

We provide quantitative weighted weak type estimates for non-integral square functions in the critical case $p=2$ in terms of the $A_p$ 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 $p$ in the range of boundedness of the square function at hand.

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Dario Mena, Maria Carmen Reguera, Luz Roncal. 2025-06-17. Weighted Weak Type estimates for non-integral Square Functions. https://arxiv.org/abs/2506.14897

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