Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals

本计画旨在研究高阶谐波分析之多参数理论及相关课题。调和分析位于数学许多分支的交叉点。它是研究算子理论和偏微分方程的基础，在数学建模、概率论和数论等许多领域有着广泛的应用。该项目旨在解决现代调和分析研究前沿的一些开放性问题，包括具有非光滑核的多线性算子的估计和乘积空间上的高级多参数理论。

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.