Friday, October 14, 2022 1:00 PM
Ethan Lu

Originating in the study of the Lebesgue and Lorentz spaces, interpolation theory has evolved into a powerful tool with applications through analysis and PDE. In this talk, we will provide a brief introduction to interpolation theory through the theorems of Marcinkiewicz and Riesz-Thorin and their applications. In particular, we will show how these tools can be used to derive classic inequalities such as the Hausdorff-Young inequality and Young's convolution inequality.