分数阶积分对易子的碰撞条件和双权不等式

Pub Date : 2021-07-07 DOI:10.4064/cm8703-4-2022

Yongming Wen, Huo-xiong Wu

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引用次数: 1

摘要

本文给出了与分数积分迭代交换子有关的稀疏算子的新的两权凸条件。作为应用，在更一般的凸点条件下，得到了分数积分迭代交换子的两个权界。同时，给出了分数积分迭代交换子的两个权凸条件的必要性以及Bloom型估计的逆性。

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Bump conditions and two-weight inequalities for commutators of fractional integrals

This paper gives new two-weight bump conditions for the sparse operators related to iterated commutators of fractional integrals. As applications, the two-weight bounds for iterated commutators of fractional integrals under more general bump conditions are obtained. Meanwhile, the necessity of two-weight bump conditions as well as the converse of Bloom type estimates for iterated commutators of fractional integrals are also given.

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