Hardy-Littlewood算子在Lipα(R)(0

来源 :沈阳工业大学学报 | 被引量 : 0次 | 上传用户：zzzj1019

【摘要】

：

文献[2]中,给出了R上奇偶延拓的Hardy-Litlewood算子的定义,并证明了Hardyy-Litle-wood算子在函数空间BMO上的有界性.在此基础上进一步研究了该算子在函数空间LiPα(R)(0＜α＜1)

【作者】

：

李德生邵全张洪

【机构】

：

沈阳工业大学理学院

【出处】

：

沈阳工业大学学报

【发表日期】

：

2004年期

【关键词】

：

调和分析 Hardy-Littlewood算子 Lipschitz函数类

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文献[2]中,给出了R上奇偶延拓的Hardy-Litlewood算子的定义,并证明了Hardyy-Litle-wood算子在函数空间BMO上的有界性.在此基础上进一步研究了该算子在函数空间LiPα(R)(0＜α＜1)上的性质.通过细致的估计,得到了Hardy-Littlewood算子在LiPα(R)(0＜α＜1)上也是有界算子的新结果.

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Hardy-Littlewood算子在Lipα(R)(0

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