Orlicz–Morrey Spaces and Fractional Operators
Orlicz–Morrey Spaces and Fractional Operators
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DOI：
10.1007/s11118-011-9239-8
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发表时间：
2012-05
影响因子：
1.1
通讯作者：
Y. Sawano;Satoko Sugano;Hitoshi Tanaka
中科院分区：
文献类型：
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作者：
Y. Sawano;Satoko Sugano;Hitoshi Tanaka
通过对 Morrey 空间的迹不等式的小参数的自然扩展感兴趣，引入了 Orlicz-Morrey 空间，并建立了 Orlicz-Morrey 空间上广义分数积分算子的一些不等式。研究了 Orlicz 极大算子的局部有界性，并验证了一些 Morrey 范数等价性。这里获得的结果使我们之前论文中的结果更加清晰。
By taking an interest in a natural extension to the small parameters of the trace inequality for Morrey spaces, Orlicz–Morrey spaces are introduced and some inequalities for generalized fractional integral operators on Orlicz–Morrey spaces are established. The local boundedness property of the Orlicz maximal operators is investigated and some Morrey-norm equivalences are also verified. The result obtained here sharpens the one in our earlier papers.