Harmonic analysis: function spaces and partial differential equations

本课题旨在解决度量度量空间谐波分析前沿的若干重要问题。谐波分析在复数分析和偏微分方程等数学领域中发挥了重要作用，在工程和技术领域中有着广泛的应用。该项目将解决许多重要问题，并为谐波分析和相关主题的研究开发新的方法和技术。该项目将保持和加强澳大利亚在谐波分析方面的数学研究实力，并有助于培养澳大利亚下一代数学研究人员。

This project aims to solve a number of important problems at the frontier of harmonic analysis on metric measure spaces. Harmonic analysis has been instrumental to several fields of mathematics including complex analysis and partial differential equations which have had many applications in engineering and technology. This project will solve a number of important problems as well as develop new approaches and techniques for research in harmonic analysis and related topics. The project will maintain and enhance the strength of Australian mathematical research in harmonic analysis and contribute to the training of the next generation of mathematical researchers in Australia.