Bergman spaces on finitely connected domains

Official URL: https://risc01.sabanciuniv.edu/record=b3151191_(Table of contents)

In this thesis study, the weighted Bergman spaces on finitely connected planar domains are investigated. They are isomorphic to the product of weighted Bergman spaces on the unit disk. Using this argument, the Carleson embeddings are characterized and kernel estimates are proved. Bounded, compact and Schatten class composition and Toeplitz operators on these spaces are characterized. Main results generalize several recent ones in the unit disk or simply connected case.