乘积函数元组上的联合条件下的迭代换向子

arXiv: Classical Analysis and ODEs Pub Date : 2019-10-01 DOI:10.1090/proc/15101

T. Hytonen, Kangwei Li, Tuomas Oikari

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引用次数: 6

摘要

本文给出了两个函数$b_1,b_2$严格弱于$b_1,b_2$在\operatorname{BMO}$上的一对联合条件，几乎表征了这些函数的迭代换向子$[b_2，[b_1,T]]$的$L^2$有界性和一个Calder\ on- zygmund算子$T。也就是说，我们把这种有界性夹在两个双线性平均振荡条件之间，其中一个条件是另一个条件的稍微凸起的版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Iterated commutators under a joint condition on the tuple of multiplying functions

We present a pair of joint conditions on the two functions $b_1,b_2$ strictly weaker than $b_1,b_2\in \operatorname{BMO}$ that almost characterize the $L^2$ boundedness of the iterated commutator $[b_2,[b_1,T]]$ of these functions and a Calder\'on-Zygmund operator $T.$ Namely, we sandwich this boundedness between two bisublinear mean oscillation conditions of which one is a slightly bumped up version of the other.

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arXiv: Classical Analysis and ODEs

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