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arXiv · 1705.09981

Improved $A_1-A_\infty$ and related estimates for commutators of rough singular integrals

Israel P. Rivera-Ríos
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Abstract

An $A_1-A_\infty$ estimate improving a previous result in arXiv:1607.06432 is obtained. Also new a result in terms of the ${A_\infty}$ constant and the one supremum $A_q-A_\infty^{\exp}$ constant, is proved, providing a counterpart for the result obained in arXiv:1705.08364. Both of the preceding results rely upon a sparse domination in terms of bilinear forms for $[b,T_Ω]$ with $Ω\in L^\infty(\mathbb{S}^{n-1})$ and $b\in BMO$ which is established relying upon techniques from arXiv:1705.07397.

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Israel P. Rivera-Ríos. 2017-06-13. Improved $A_1-A_\infty$ and related estimates for commutators of rough singular integrals. https://doi.org/10.1017/s0013091518000238

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