Traces of analytic uniform algebras on subvarieties and test collections

Michael A. Dritschel, Daniel Estévez, Dmitry Yakubovich

Given a complex domain $\Omega$ and analytic functions ${\phi }_1,\dots ,{\phi }_n:\Omega \to \mathbb{D}$, we give geometric conditions for $H^{\infty }(\Omega )$ to be generated by functions of the form $g \ci…