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Improved A1−A∞ and Related Estimates for Commutators of Rough Singular Integrals
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 4 / November 2018
- Published online by Cambridge University Press:
- 06 August 2018, pp. 1069-1086
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- Article
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An A1−A∞ estimate, improving on a previous result for [b, TΩ] with
$\Omega \in L^{infty}({\open S}^{n - 1})$ and b∈BMO is obtained. A new result in terms of the A∞ constant and the one supremum Aq−A∞exp constant is also proved, providing a counterpart for commutators of the result obtained by Li. Both of the preceding results rely upon a sparse domination result in terms of bilinear forms, which is established using techniques from Lerner.
