论文标题

迭代换向器的两个重量估计值

On two weight estimates for iterated commutators

论文作者

Lerner, Andrei K., Ombrosi, Sheldy, Rivera-Ríos, Israel P.

论文摘要

在本文中,我们扩展了凸起的猜想和分离的凸起猜想的特殊情况,并与迭代的换向器$ t_b^m $。即使对于一阶换向器$ t_b^1 $,我们的结果也是新的。还获得了$ t_b^m $的两加权界限的新型凹凸类型。我们还提供了与Bloom定理的交谈有关的一些结果。

In this paper we extend the bump conjecture and a particular case of the separated bump conjecture with logarithmic bumps to iterated commutators $T_b^m$. Our results are new even for the first order commutator $T_b^1$. A new bump type necessary condition for the two-weighted boundedness of $T_b^m$ is obtained as well. We also provide some results related to a converse to Bloom's theorem.

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