3 problems

Let $\Omega$ be a bounded set, and let $H^2(\Omega)$ denote the Hardy-Smirnov space on $\Omega$. For an analytic self-map $\Phi$ of $\Omega$, write $C_{\Phi}$ for the composition o…

Let $u$ be an inner function on the unit disc, let $K_u=H^2\ominus uH^2$, and let $\mathcal{T}_u$ be the space of truncated Toeplitz operators on $K_u$. For an inner divisor $v$ of…

Let $u$ be an inner function on the unit disc, let $K_u=H^2\ominus uH^2$, and let $\mathcal{T}_u$ denote the space of truncated Toeplitz operators on $K_u$. Operators in…