4 problems

Let $S_t$ and $D_t$ be the single- and double-layer potential operators associated with the fundamental solution of the elliptic equation in the supplied setting, and let…

Lipschitz-domain generalization conjecture. The corresponding layer-potential bounds should also hold when the half-space $\mathbb{R}^{n+1}_+$ is replaced by a Lipschitz graph doma…

Lipschitz-domain generalization conjecture. The theorem, and hence these square function estimates for the single and double layer potentials, may be generalized from the half-spac…

Strictly convex layer-potential conjecture. There is a constant $c$ such that