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-  2016 

乘积空间上的广义哈代算子的有界性
Sharp bounds for generalized Hardy operator on product space

DOI: 10.7523/j.issn.2095-6134.2016.04.001

Keywords: 广义哈代算子,乘积空间,RMO(Rn)
generalized Hardy operator
,product space,RMO(Rn)

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Abstract:

摘要 研究乘积空间上的一类算子Uψf(x)=f(x1t1,…,xntn)ψ(t1,…,tn)dt1…dtn在RMO(Rn)上有界的充分必要条件,这个条件完全依赖于定义在[0,1]×…×[0,1]上的非负函数ψ。还给出了Uψ的算子范数。此外,还把这个结果推广到高维乘积空间。

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