Multi-linear forms, structure of graphs and Lebesgue spaces
Alex Iosevich, Eyvindur Ari Palsson, Yujia Zhai, Emmett L. Wyman · arXiv (Cornell University) · 2024
Consider the operator $$T_Kf(x)=\int_{{\mathbb R}^d} K(x,y) f(y) dy,$$ where $K$ is a locally integrable function or a measure. The purpose of this paper is to study the multi-linear form $$ Λ^K_G(f_1, \dots, f_n)=\int \dots \int \prod_{ \{(i,j): 1 \leq i