交换子在加权Hardy型空间上的有界性估计OA
Boundedness estimates of commutators on weighted Hardy-type spaces
拟微分算子交换子理论是研究偏微分方程解适定性问题的重要工具.聚焦由拟微分算子与BMOμ函数生成的交换子在Hardy型空间的有界性,得到了交换子从加权Hardy型空间Hpb(μ)到加权Lebesgue空间Lp(μ1-p)有界的充分条件,其中μ∈A1.进一步得到了交换子从加权Hardy空间H1(μ)到弱L1 空间有界的充分条件.
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.
邓宇龙;蒋依静
长沙师范学院 数学科学学院,湖南 长沙 410100长沙师范学院 数学科学学院,湖南 长沙 410100
数理科学
拟微分算子交换子BMO空间加权Hardy型空间
pseudodifferential operatorcommutatorBMO spaceweighted Hardy-type space
《浙江大学学报（理学版）》 2026 (3)
341-346,6
湖南省教育厅科研重点项目(25A0730,24A0792)湖南省自然科学基金项目(2026JJ81177).
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