摘要
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.
关键词
HERZ空间
加权HL平均算子
范数
weighted
Hardy-Littlewood
averages
operator
Herz spaces
norm