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Iterated commutators under a joint condition on the tuple of multiplying functions
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15101 Tuomas Hytönen , Kangwei Li , Tuomas Oikari
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15101 Tuomas Hytönen , Kangwei Li , Tuomas Oikari
Abstract:We present a pair of joint conditions on the two functions 
strictly weaker than 
that almost characterize the 
boundedness of the iterated commutator ![$ [b_2,[b_1,T]]$](images/img7.gif)
of these functions and a Calderón-Zygmund operator 
. Namely, we sandwich this boundedness between two bisublinear mean oscillation conditions of which one is a slightly bumped up version of the other.
中文翻译：
联合条件下乘法函数元组上的迭代换向器
摘要：我们在这两个函数上给出了一对联合条件，其严格弱于几乎表征了这些函数的迭代换向器和Calderón-Zygmund算子的有界性。即，我们将这种有界性夹在两个双亚线性平均振荡条件之间，其中一个是另一个的略微升高的版本。
更新日期：2020-09-02
strictly weaker than that almost characterize the boundedness of the iterated commutator of these functions and a Calderón-Zygmund operator . Namely, we sandwich this boundedness between two bisublinear mean oscillation conditions of which one is a slightly bumped up version of the other. 中文翻译：
联合条件下乘法函数元组上的迭代换向器
摘要：我们在这两个函数上给出了一对联合条件，其
严格弱于几乎表征了这些函数的迭代换向器和Calderón-Zygmund算子的有界性。即，我们将这种有界性夹在两个双亚线性平均振荡条件之间，其中一个是另一个的略微升高的版本。 
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