Weak type (1, 1) bound criterion for singular integrals with rough kernel and its applications
Weak type (1, 1) bound criterion for singular integrals with rough kernel and its applications
复制标题
粗核奇异积分的弱型(1, 1)界准则及其应用
DOI：
10.1090/tran/7346
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发表时间：
2019
影响因子：
1.3
通讯作者：
Lai Xudong
中科院分区：
文献类型：
--
作者：
Ding Yong;Lai Xudong
本文对具有粗糙核的奇异积分算子建立了一个弱（1，1）型界准则。作为该准则的一些应用，我们证明了调和分析中一些重要的粗糙核算子，如Calder 'on交换子、高阶Calder' on交换子、一般Calder 'on交换子、Bajsanski-Coifman型Calder' on交换子和一般Muckenhoupt型奇异积分都是弱型（1，1）.
In this paper, a weak type (1,1) bound criterion is established for singular integral operator with rough kernel. As some applications of this criterion, we prove some important operators with rough kernel in harmonic analysis, such as Calder\'on commutator, higher order Calder\'on commutator, general Calder\'on commutator, Calder\'on commutator of Bajsanski-Coifman type and general singular integral of Muckenhoupt type, are all of weak type (1,1).