The Commutators of Marcinkiewicz Integral Operators on Weighted Hardy Spaces

被引：0

作者：

Yanyan Han

Huoxiong Wu

机构：

[1] Xiamen University,School of Mathematical Sciences

来源：

Frontiers of Mathematics | 2023年 / 18卷

关键词：

Marcinkiewicz integral operator; commutators; Muckenhoupt weights; BMO spaces; Hardy spaces; 47B47; 42B30; 42B35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to studying the behaviors of commutator μΩb generated by the Marcinkiewicz integral μΩ with b ∈ BMO(ℝn) on the weighted Hardy spaces. The authors show that there is a non-trivial subspace of BMO(ℝn), when b belongs to this subspaces, such that μΩb is bounded from the weighted Hardy spaces Hωp(ℝn) to the weighted Lebesgue spaces Lωp(ℝn) for some 0 < p ≤ 1.

引用

页码：167 / 183

页数：16

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