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5. Lp(Rm Rn) boundedness for the Marcinkiewicz integral on product spaces

Lp(Rm Rn) boundedness for the Marcinkiewicz integral on product spaces

来源 :中国科学A辑 | 被引量 : 0次 | 上传用户：liongliong454

【摘 要】

：

Lp(Rm × Rn) boundedness is considered for the multiple Marcinkiewicz integral. Some sizeconditions implying the Lp(Rm × Rn) boundedness of the multiple Marcin

【作 者】

：

胡国恩 陆善镇 燕敦验 

【机 构】

：

Department of Applied Mathematics,Department of Mathematics,Institute of Mathematics

【出 处】

：

中国科学A辑

【发表日期】

：

2004年期

【关键词】

：

multiple Marcinkiewicz integral Fourier transform estimate Littlewood-Paley theo 

【基金项目】

：

国家重点基础研究发展计划(973计划);Prof. Xu Yuesheng’s research grant in the program of \"One Hundred Distinguished YoungScientists\" of the Chinese Academy of Sciences

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论文部分内容阅读

Lp(Rm × Rn) boundedness is considered for the multiple Marcinkiewicz integral. Some sizeconditions implying the Lp(Rm × Rn) boundedness of the multiple Marcinkiewicz integral for some fixed1 ＜ p ＜∞ are obtained.

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