2 problems

Endpoint conjecture. Theorem 1.1 should hold under this endpoint assumption: for all $p_1,p_2,p_3\in(1,\infty)$ satisfying $\sum_{i=1}^3p_i^{-1}=1$ and

Let $\alpha$ and $\beta$ be non-zero positive real numbers, and let $T^{\alpha,\beta}$ be the trilinear operator defined using smooth cutoff functions $\widehat{\Phi_1}$ and…