3 problems

Let $H^{\alpha}$ be the Hardy space associated with a continuous rotationally symmetric norm $\alpha$, let $B$ be a finite Blaschke factor of degree $n$, and let…

Parabolic-curve accumulation conjecture. Parabolic curves accumulate on the unit circle at isolated points and tangentially to it. Moreover, if a parabolic curve accumulates on a p…

Extended-tongue structure conjecture. The connected components of $ET_\tau$ are disjoint. The boundary of every connected component consists of two disjoint connected components: a…