A Note on Boundedness of the Hardy–Littlewood Maximal Operator on Morrey Spaces

A Note on Boundedness of the Hardy–Littlewood Maximal Operator on Morrey Spaces
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莫雷空间上Hardy-Littlewood极大算子有界性的注解

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发表时间:
2015
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通讯作者:
R. Mustafayev
R. Mustafayev
中科院分区:
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作者:
Amiran Gogatishvili;R. Mustafayev

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本文证明了对于${mathbb{R}^n}$$Rn上的径向非增函数,Hardy-Littlewood极大算子在$${mathcal{M}{1,lambda}(λ{R}^n)}$$m1,≤λ(Rn),$${0 le lambda<n}$$0上有界.
In this paper we prove that the Hardy–Littlewood maximal operator is bounded on Morrey spaces $${mathcal{M}_{1,lambda}(mathbb{R}^n)}$$M1,λ(Rn), $${0 le lambda < n}$$0≤λ<n for radial, non-increasing functions on $${mathbb{R}^n}$$Rn.