[1]张阳春,邵明锋.Marcinkiewicz乘子定理的现代证明[J].深圳大学学报理工版,1985,(3):1-4.
 Zhang Yangchun,Shao Mingfeng.A Modern Proof of Marcinkiewicz Multiplier Theorem[J].Journal of Shenzhen University Science and Engineering,1985,(3):1-4.
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Marcinkiewicz乘子定理的现代证明()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
期数:
1985年3期
页码:
1-4
栏目:
环境与能源
出版日期:
1985-09-30

文章信息/Info

Title:
A Modern Proof of Marcinkiewicz Multiplier Theorem
作者:
张阳春邵明锋
深圳大学应用数学系
Author(s):
Zhang Yangchun Shao Mingfeng
Department of Applied Mathematics
文献标志码:
A
摘要:
在调和分析理论中,Marcinkiewicz乘子定理有着重要的地位,其证明是利用了古典的向量值奇异积分。近些年来,调和分析的理论日趋现代化。A. Coifmar和C. Fefferman展示了如何用权范数理论这一现代工具得出古典的向量值结果。本文则利用权范数理论给出Marcinkiewicz定理的一个现代证明。
Abstract:
It is welI known that the modernization of the theory of harmonic analysis has been carried on for decades. As a contribution to this purpose, a modern proof of Marclnklewlcz Multiplier Theorem, which plays an important role in harmonic analysis, Is given in this paper by use of weighted norm inequalities as a substitute for the classical vector valued singular Integrals.
更新日期/Last Update: 2016-05-23