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带非双倍测度的多重线性奇异积分与有界振动函数生成的交换子在Lebesgue空间上的有界性 被引量:2

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摘要 设μ是非双倍测度且||μ||=∞,多重线性奇异积分是从L1(μ)×L1(μ)到L1/2,∞(μ)有界的,则由多重线性奇异积分和由Tosla定义的正规有界振动函数生成的交换子是在Lebesgue空间有界的.
作者 徐景实
机构地区 晓庄学院数学系
出处 《中国科学(A辑)》 CSCD 北大核心 2007年第2期175-188,共14页 Science in China(Series A)
基金 湖南省教育厅科研基金(批准号:1068059) 湖南省自然科学基金(批准号:06JJ50012) 国家自然科学基金(批准号:60474070 10671062)资助项目
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  • 1周娟,侯兴华,朱月萍.非双倍测度下多线性Calderón-Zygmund算子及其交换子在Herz型空间上的有界性[J].南京大学学报(数学半年刊),2011,28(1):118-130. 被引量:1
  • 2Yoshihiro SAWANO Hitoshi TANAKA.Morrey Spaces for Non-doubling Measures[J].Acta Mathematica Sinica,English Series,2005,21(6):1535-1544. 被引量:26
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