The Commutators of Strongly Singular Integral Operators on the Weighted Hardy Spaces

被引：0

作者：

Yan Yan HAN ^{[1
]}

Huo Xiong WU ^{[1
]}

机构：

[1] School of Mathematical Sciences, Xiamen University

来源：

Acta Mathematica Sinica,English Series | 2021年 / 12期

关键词：

D O I：

暂无

中图分类号：

O177.6 [积分变换及算子演算];

学科分类号：

070104 ;

摘要：

Let T be a strongly singular Calderón-Zygmund operator and b ∈ L（R）. This article finds out a class of non-trivial subspaces BMO（R） of BMO（R） for certain ω∈ A, 0 < p ≤ 1 and 1 < u ≤∞, such that the commutator [b, T ] is bounded from weighted Hardy space H（R） to weighted Lebesgue space L（R） if b ∈ BMO（R）, and is bounded from weighted Hardy space H（R） to itself if T*1 = 0 and b ∈ BMO（R） for 1 < u < 2.

引用

页码：1909 / 1920

页数：12

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