Decompositions of local Morrey-type spaces

Decompositions of local Morrey-type spaces
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DOI:
10.1007/s11117-016-0463-8
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发表时间:
2017-01
期刊:
影响因子:
1
通讯作者:
V. Guliyev;S. G. Hasanov;Y. Sawano
V. Guliyev;S. G. Hasanov;Y. Sawano
中科院分区:
数学4区
文献类型:
--
作者:
V. Guliyev;S. G. Hasanov;Y. Sawano

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我们开发和应用一般的局部Morrey型空间的分解理论。我们的结果是非光滑分解,这是由于局部Morrey型空间在一般情况下同构于哈代局部Morrey型空间。作为结果的一个应用,我们考虑了哈代算子.
We develop and apply a decomposition theory for generic local Morrey-type spaces. Our result is nonsmooth decomposition, which follows from the fact that local Morrey-type spaces are isomorphic to Hardy local Morrey-type spaces in the generic case. As an application of our results, we consider the Hardy operator.