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- 2015
乘积空间上的一类平均算子的Lp有界性
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Abstract:
摘要 主要研究乘积空间上的一类算子 Hφf(x)=...f(x1 t1,…,xn tnφ(t1,…,tn)dt1…dtn 在Lp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.此外, 还给出了Hφ的算子范数.
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