3 problems

Let $\mathbb B_n$ be the unit ball in $\mathbb C^n$, let $\mathbb S_n$ be its boundary sphere, and let $\mathcal{Z}(p)$ denote the zero set of a polynomial $p$. A polynomial is cyc…

Constancy conjecture. Then $g$ is constant. The source presents this as a proposed extension of the assertion that non-constant outer solutions do not occur in the corresponding cl…

Let $\gamma>0$. For $f\in {\mathcal A}^1_{\gamma}$, write $f=f_\mu=\exp(-h_\mu)$ for its uniquely determined premeasure $\mu\in P^+_{\kappa_\gamma}(\mathbb T)$, and let…