浙江大学学报(理学版)2026,Vol.53Issue(3):341-346,6.DOI:10.3785/1008-9497.25094
交换子在加权Hardy型空间上的有界性估计
Boundedness estimates of commutators on weighted Hardy-type spaces
摘要
Abstract
The theory of pseudodifferential operator commutators is an important tool in the study of the well-posedness of solutions problems of partial differential equations.This paper focuses on the boundedness of commutators generated by pseudodifferential operators and BMOμ functions on Hardy-type spaces,and the sufficient condition for these operators to be bounded from weighted Hardy-type spaces Hpb(μ)to weighted Lebesgue spaces Lp(μ1-p)is given,where μ∈A1.Furthermore,the sufficient condition is obtained for the boundedness of the commutators from weighted Hardy spaces H1(μ)to weak L1 spaces.关键词
拟微分算子/交换子/BMO空间/加权Hardy型空间Key words
pseudodifferential operator/commutator/BMO space/weighted Hardy-type space分类
数理科学引用本文复制引用
邓宇龙,蒋依静..交换子在加权Hardy型空间上的有界性估计[J].浙江大学学报(理学版),2026,53(3):341-346,6.基金项目
湖南省教育厅科研重点项目(25A0730,24A0792) (25A0730,24A0792)
湖南省自然科学基金项目(2026JJ81177). (2026JJ81177)