多线性奇异积分算子的一些新进展

Some Recent Progress on Multilinear Singular Integral Operators

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摘要多线性奇异积分算子产生于调和分析、偏微分方程以及遍历论等领域的各类问题.本文将综述多线性奇异积分算子的一些最新进展,主要包括多线性Calderón-Zygmund算子、多线性Hormander乘子以及一些相关问题. Multilinear singular integral operators appeared in various problems in harmonic analysis,partial differential equations,and the ergodic theory.The purpose of this paper is to survey some recent progress on multilinear singular integral operators,including mutilinear Calderon-Zygmund operators,multilinear Hormander multipliers,and several related topics.

作者贺丹青 HE Danqing(School of Mathematical Sciences,Fudan University,Shanghai,200433,P.R.China)

机构地区复旦大学数学科学学院

出处《数学进展》 CSCD 北大核心 2022年第5期769-780,共12页 Advances in Mathematics（China）

关键词多线性奇异积分算子多线性Hormander乘子 multilinear singular integral operator multilinear H?rmander multiplier

分类号 O174.2 [理学—基础数学]

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参考文献3

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1黄亮,陈焦.H?rmander乘子在加权的乘积空间上的有界性[J].北京师范大学学报（自然科学版）,2018,54(4):458-462.
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多线性奇异积分算子的一些新进展

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