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WEIGHTED WEAK TYPE ENDPOINT ESTIMATES FOR THE COMPOSITIONS OF CALDERÓN–ZYGMUND OPERATORS
Published online by Cambridge University Press: 08 April 2019
Abstract
Let $T_{1}$, $T_{2}$ be two Calderón–Zygmund operators and $T_{1,b}$ be the commutator of $T_{1}$ with symbol $b\in \text{BMO}(\mathbb{R}^{n})$. In this paper, by establishing new bilinear sparse dominations and a new weighted estimate for bilinear sparse operators, we prove that the composite operator $T_{1}T_{2}$ satisfies the following estimate: for $\unicode[STIX]{x1D706}>0$ and weight $w\in A_{1}(\mathbb{R}^{n})$,
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 109 , Issue 3 , December 2020 , pp. 320 - 339
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
Communicated by C. Meaney
The research was supported by the NNSF of China under grant no. 11871108.
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