On the framework of Lp summations for functions

November 21, 2022
In this talk, the framework of Lp operations for functions including the extension of convolution sum and the Asplund sum for functions will be presented. Based on the properties of these summations for functions, we establish the Lp Borell-Brascamp-Lieb inequalities and discover the integral formula for Lp mixed quermassintegral for functions. This talk is based on a joint work with Michael Roysdon.