Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals

多参数谐波分析：奇异积分的加权估计

• 批准号: DP160100153
• 负责人: Prof Xuan Thinh Duong
• 金额: $ 25.45万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2016
• 资助国家: 澳大利亚
• 起止时间: 2016-02-16 至 2020-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP160100153
• 关键词: Multiparameter; Harmonic; Analysis; Weighted; Estimates

This project aims to study advanced harmonic analysis concerning multiparameter theory and related topics. Harmonic analysis lies at the intersection of the frontiers of many branches of mathematics. It is fundamental to the study of operator theory and partial differential equations which has wide applications in many fields such as mathematical modelling, probability and number theory. This project aims to solve a number of open problems at the frontier of research in modern harmonic analysis including estimates on multilinear operators with nonsmooth kernels and advanced multiparameter theory on product spaces.

该项目旨在研究有关多参数理论和相关主题的高级谐波分析。谐波分析在于数学许多分支的边界的交集。这对于在许多领域（例如数学建模，概率和数理论）中具有广泛应用的操作者理论和部分微分方程的研究至关重要。该项目旨在在现代谐波分析的研究边界解决许多开放问题，包括对具有非光滑内核的多线性操作员的估计以及产品空间上的高级多参数理论。