Orlicz–Morrey spaces and the Hardy–Littlewood maximal function
Orlicz–Morrey spaces and the Hardy–Littlewood maximal function
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DOI：
10.4064/sm188-3-1
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发表时间：
2008
影响因子：
0.8
通讯作者：
E. Nakai
中科院分区：
文献类型：
--
作者：
E. Nakai
We prove basic properties of Orlicz–Morrey spaces and give a necessary and sufficient condition for boundedness of the Hardy–Littlewood maximal operator M from one Orlicz–Morrey space to another. For example, if f ∈ L(log L)(R), then Mf is in a (generalized) Morrey space (Example 5.1). As an application of boundedness of M , we prove the boundedness of generalized fractional integral operators, improving earlier results of the author.
