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arXiv · 2103.13345

Quantitative matrix weighted estimates for certain singular integral operators

Pamela A. Muller·Israel P. Rivera-Ríos
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Abstract

In this paper quantitative weighted matrix estimates for vector valued extensions of $L^{r'}$-H\"ormander operators and rough singular integrals are studied. Strong type $(p,p)$ estimates, endpoint estimates, and some new results on Coifman-Fefferman estimates assuming $A_\infty$ and $C_p$ condition counterparts are provided. To prove the aforementioned estimates we rely upon some suitable convex body domination results that we settle as well in this paper.

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Pamela A. Muller, Israel P. Rivera-Ríos. 2021-03-24. Quantitative matrix weighted estimates for certain singular integral operators. https://arxiv.org/abs/2103.13345

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