arXiv subjects
Publications and source records attributed to Sibel Şahin.
We characterize when two sequences of composition operators admit disjointly universal Blaschke products and singular inner functions. The characterizations we provide depend on geometric features of the symbols like their hyperbolic derivatives and pseudo hyperbolic distances. To achieve our results, we build a disjoint universality criterion for sequences of maps that act on a metrizable, complete topological semigroup.
In this work we consider the Smirnov classes for sub-Bergman spaces. First we point out some observations about the Smirnov property of sub-Bergman space $H^α(φ)$ and its relation to the defining $H^{\infty}_{1}$ function $φ$. The first main result of the work deals with the range of the defect operator over Smirnov-sub-Bergman class whereas in the last part we show that contrary to classical Bergman spaces, Smirnov-sub-Bergman classes have non-tangential boundary values almost everywhere on the unit circle.