| 一类参数型Marcinkiewicz积分的有界性 |
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| 引用本文： | 吴小梅,邱加蔚,任芬芳,王侃.一类参数型Marcinkiewicz积分的有界性[J].绍兴文理学院学报,2009,29(8). |
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| 作者姓名： | 吴小梅 邱加蔚 任芬芳 王侃 |
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| 作者单位： | 浙江师范大学,行知学院,浙江,金华321004 |
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| 基金项目： | 浙江师范大学青年基金 |
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| 摘 要： | 讨论了一类具有变量核的参数型Marcinkiewicz积分的有界性,证明了当此类Marcinkiewicz积分满足Dinni型条件时,它在Herz型Hardy空间中是有界的.
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| 关 键 词： | 参数型Marcinkiewicz积分 变量核 Herz型Hardy空间 Lr β-Dini条件 Lr β-Dini conditions |
The Boundedness of a Kind of Parameterized Marcinkiewicz Integral |
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| Wu Xiaomei,Qiu Jiawei,Ren Fenfang,Wang Kan.The Boundedness of a Kind of Parameterized Marcinkiewicz Integral[J].Journal of Shaoxing College of Arts and Sciences,2009,29(8). |
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| Authors: | Wu Xiaomei Qiu Jiawei Ren Fenfang Wang Kan |
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| Abstract: | Discussions in the paper are concerned with the parameterized Marcinkiewicz integral with variable kernels of certain forms.The conclusion drawn is that the boundedness of the Marcinkiewicz integral is proved in Herz-Hardy space under the circumstance where it meets Lr,β-Dini conditions. |
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| Keywords: | Marcinkiewicz integral variable kernels Herz Hardy space |
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