Herz空间中加权HL平均算子的范数

The Norm of Weighted Hardy-Littlewood Averages Operators on Herz Spaces

本文利用新的证明方法,给出了加权Hardy-Littlewood平均算子在Herz空间上有界的充分必要条件并建立了相应的新的算子范数不等式。所得到的结果是已知结果的本质改进和推广。

This paper gives some necessary and sufficient conditions for the weighted Hardy-Littliwood average operators to be bounded on Herz spaces by using the new methods of proofs. Meanwhile, the corresponding new operator norms are worked out.