2 problems

Let $0<s<2$ and $1<p<\infty$ satisfy $s<\frac{2}{p}$. Let $\mu,\nu\in F^s_{p,q}\cap L^\infty_c$ satisfy the ellipticity condition, and let $f$ be the principal solution to the Belt…

Nonvanishing imaginary-part conjecture. Either $\operatorname{Im}(f_z)$ is constant, or