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Marcinkiewicz积分交换子的有界性质

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摘要 奇异积分算子及其交换子是调和分析的重要算子,共有界性问题是调和分析的两大中心内容之一,在数学学科和交叉学科领域有重要的应用。积分交换子由积分算子和函数生成,b(x)是属于加权Lipschitz空间的一个局部可积函数,Ω是具有消失性质的零次齐次函数且满足对数型Lipschitz条件,μΩ是定义在Ω上的Marcinkiewicz积分算子。综合上述的b(x)和μΩ生成的Marcinkiewicz积分交换子μbΩ则必然是Lp(ω)到Lq(ω1-q)的有界算子.
出处 《焦作师范高等专科学校学报》 2012年第3期1-6,共6页 Journal of Jiaozuo Teachers College
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参考文献11

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二级参考文献31

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