Weighted p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey Spaces
Weighted p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey Spaces
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p-Adic 中央 Morrey 空间上的加权 p-Adic Hardy 算子及其换向器
DOI：
10.1007/s40840-017-0444-5
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发表时间：
2017-04-01
影响因子：
1.2
通讯作者：
Fu, Zun Wei
中科院分区：
文献类型：
--
作者：
Wu, Qing Yan;Fu, Zun Wei
本文分别在p进Morrey空间、p进中心Morrey空间和p进λ -中心BMO空间上建立了加权p进Hardy算子有界性的充分必要条件，并得到了它们的锐界。我们还给出了由p进Hardy算子和λ -中心BMO函数生成的对易子在p进中心Morrey空间上有界的权函数的刻画。由于p进整数的特殊结构，这个结果与欧几里得空间上的结果不同。
In this paper, we establish necessary and sufficient conditions for boundedness of weighted p-adic Hardy operators on p-adic Morrey spaces, p-adic central Morrey spaces and p-adic lambda-central BMO spaces, respectively, and obtain their sharp bounds. We also give the characterization of weight functions for which the commutators generated by weighted p-adic Hardy operators and lambda-central BMO functions are bounded on the p-adic central Morrey spaces. This result is different from that on Euclidean spaces due to the special structure of p-adic integers.