HARDY-LITTLEWOOD MAXIMAL OPERATOR, SINGULAR INTEGRAL-OPERATORS AND THE RIESZ-POTENTIALS ON GENERALIZED MORREY SPACES

HARDY-LITTLEWOOD MAXIMAL OPERATOR, SINGULAR INTEGRAL-OPERATORS AND THE RIESZ-POTENTIALS ON GENERALIZED MORREY SPACES
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DOI:
10.1002/mana.19941660108
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发表时间:
1994-01-01
影响因子:
1
通讯作者:
NAKAI, E
NAKAI, E
中科院分区:
数学3区
文献类型:
--
作者:
NAKAI, E

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Morrey 空间上 Hardy-Littlewood 极大算子的有界性由 [l] 可知。在本文中,我们引入了广义 Morrey 空间 Lp, w (IR"),并估计了该空间上的 Hardy-Littlewood 极大算子、奇异积分算子和 Riesz 势。
The boundedness of Hardy-Littlewood maximal operator on the Morrey space is known by [l]. In this note, we introduce a generalized Morrey space Lp, w (IR"), and estimate Hardy-Littlewood maximal operator, singular integral operators and the Riesz potentials on this space.