Weighted Hardy operators and commutators on Morrey spaces

Weighted Hardy operators and commutators on Morrey spaces
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莫雷空间上的加权 Hardy 算子和换向器

DOI:
10.1007/s11464-010-0015-7
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发表时间:
2010-09-01
影响因子:
--
通讯作者:
Lu, Shanzhen
Lu, Shanzhen
中科院分区:
数学4区
文献类型:
--
作者:
Fu, Zunwei;Lu, Shanzhen

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给出了Morrey空间上加权哈代算子的算子范数.本文的另一个目的是建立一个关于权函数的充分必要条件,该条件保证了加权哈代算子(符号在BMO(n)中)的算子在Morrey空间上的有界性.
The operator norms of weighted Hardy operators on Morrey spaces are worked out. The other purpose of this paper is to establish a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy operators (with symbols in BMO(ℝn)) on Morrey spaces.